Prosperous Voyage is out of Seatone (Mizzen Mast), a winner at three in France, and is one of her four winners. Seatone is also the dam of Romanesque (Montjeu), Listed-placed in Australia.

Second dam Diese (Diesis) won the Prix Corrida, then a Group 3, and became a major producer. She is the dam of Senure (Nureyev), winner of the Grade 1 United Nations Handicap and the Grade 1 Clement L. Hirsch Memorial Turf Championship Stakes and later a sire, and of the sire Speak In Passing (Danzig), who won the Grade 3 San Simeon Handicap. Her other produce includes the Listed winner Dexterity (Kingmambo) and Terrazzo (Nureyev), placed at Group 2 level in France. She is also the second dam of Permit (Dansili), winner of the Gr.2 Chairman's Handicap and the Gr.3 N E Manion Cup.

Third dam Monroe (Sir Ivor) won the Gr.3 Ballyogan Stakes and was second in the Gr.1 Phoenix Stakes. She produced Xaar (Zafonic), winner of the Gr.1 Dewhurst Stakes and the Gr.1 Prix de la Salamandre and later a sire, and Masterclass (The Minstrel), who won the Gr.3 Prix Quincey, was second in the Gr.1 Grand Criterium and became a sire. Two more sons, Ile De Jinsky (Ile De Bourbon), a Listed winner, and Esquire (High Line), were both Group 2-placed and went to stud.

Monroe is also the ancestress of the sires Cityscape (Selkirk), winner of the Gr.1 Dubai Duty Free, Bated Breath, winner of the Gr.2 Temple Stakes, Ajaya and Siskin, of Logician, winner of the Gr.1 St Leger, and of Close Hatches (First Defence), a champion who won five Grade 1 races and has produced stakes winners.

Seatone has an unraced 2-year-old colt, Tenerife (No Nay Never), and a yearling filly by Camelot.