Ryan Seacrest, the dexterous Hollywood master of ceremonies, was named the next host of “Wheel of Fortune” on Tuesday, succeeding the longtime host Pat Sajak in 2024.

The selection of a star like Mr. Seacrest by Sony Pictures Television, the studio behind the show, is a big bet on “Wheel of Fortune.” The show has demonstrated remarkable durability even as traditional television has declined in the wake of streaming entertainment.

The swift decision by Sony executives, made just two weeks after Mr. Sajak announced he would step down next year, also suggests that they are hoping to avoid the succession fiasco that nearly overwhelmed their other hit game show, “Jeopardy!”

Vanna White, Mr. Sajak’s longtime “Wheel of Fortune” co-host, is under contract for another year, and is in negotiations to continue with the show, said a person with knowledge of the talks who spoke on the condition of anonymity.