<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-10-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0002012593</issuerCik>
        <issuerName>Rapport Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>RAPP</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245624</rptOwnerCik>
            <rptOwnerName>HEALY JAMES</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>SOFINNOVA INVESTMENTS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3000 SAND HILL ROAD, BLDG. 3, SUITE 150</rptOwnerStreet2>
            <rptOwnerCity>MENLO PARK</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>952380</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2815707</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Sofinnova Venture Partners XI, L.P.</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6395</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>17990</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SummitTX Master, SPC -SummitTX Apex SP - Healthcare 3</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3772</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>14924</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SummitTX Master, SPC - SummitTX Alpha SP - Healthcare 3</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-10-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6933</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25267</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SummitTX Pinnacle Master, L.P. - Healthcare 3</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The shares are directly held by Sofinnova Venture Partners XI, L.P. (&quot;SVP XI&quot;). Sofinnova Management XI, L.P. (&quot;SM XI LP&quot;) is the general partner of SVP XI and Sofinnova Management XI, L.L.C. (&quot;SM XI&quot;) is the general partner of SM XI LP. The Reporting Person is a managing member of SM XI and may be deemed to share voting and dispositive power over the shares held by SVP XI. The Reporting Person disclaims beneficial ownership of such shares for purposes of Section 16 of the Exchange Act, except to the extent of his pecuniary interest therein, if any. This report shall not be deemed an admission that he is a beneficial owner of such securities for the purpose of Section 16 of the Exchange Act, or for any other purpose.</footnote>
        <footnote id="F2">The shares are directly held by SummitTX Master, SPC - SummitTX Apex SP - Healthcare 3 (f/k/a Crestline Summit Master, SPC - Crestline Summit Apex SP) (&quot;Apex SP&quot;). Sofinnova BioEquities GP LLC (&quot;BioEquities GP&quot;) is the general partner of Apex SP. The Reporting Person is a managing member of BioEquities GP and may be deemed to share voting and dispositive power over the shares held by Apex SP. The Reporting Person disclaims beneficial ownership of such shares for purposes of Section 16 of the Exchange Act, except to the extent of his pecuniary interest therein, if any. This report shall not be deemed an admission that he is a beneficial owner of such securities for the purpose of Section 16 of the Exchange Act, or for any other purpose.</footnote>
        <footnote id="F3">The shares are directly held by SummitTX Master, SPC - SummitTX Alpha SP - Healthcare 3 (f/k/a Crestline Summit Master, SPC - PEAK SP) (&quot;Alpha SP&quot;). BioEquities GP is the general partner of Alpha SP. The Reporting Person is a managing member of BioEquities GP and may be deemed to share voting and dispositive power over the shares held by Alpha SP. The Reporting Person disclaims beneficial ownership of such shares for purposes of Section 16 of the Exchange Act, except to the extent of his pecuniary interest therein, if any. This report shall not be deemed an admission that he is a beneficial owner of such securities for the purpose of Section 16 of the Exchange Act, or for any other purpose.</footnote>
        <footnote id="F4">The shares are directly held by SummitTX Pinnacle Master, L.P. - Healthcare 3 (f/k/a Crestline Summit Pinnacle Master, L.P.) (&quot;Pinnacle LP&quot;). BioEquities GP is the general partner of Pinnacle LP. The Reporting Person is a managing member of BioEquities GP and may be deemed to share voting and dispositive power over the shares held by Pinnacle LP. The Reporting Person disclaims beneficial ownership of such shares for purposes of Section 16 of the Exchange Act, except to the extent of his pecuniary interest therein, if any. This report shall not be deemed an admission that he is a beneficial owner of such securities for the purpose of Section 16 of the Exchange Act, or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Nathalie Auber, Attorney-in-Fact</signatureName>
        <signatureDate>2026-10-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
