What is the relationship between Naruto and the Fourth Hokage in Naruto?

The relationship between father and son. In the conversation between Jiraiya and Tsunade in Chapter 367, he learned that Naruto is the son of the Fourth Hokage (named Namikaze Minato), because he is the master of the Fourth Hokage. Laiya also pointed this out, and he also said that seeing Naruto was like seeing his own grandson. In addition, Naruto's mother was also identified as Uzumaki Kina, a female ninja from the Kingdom of Whirlpool. It was also pointed out from the dialogue that Naruto looks like his father, but his personality and ninjutsu are like his mother (referring to the type who is good at ninjutsu); even his surname is the same as his mother's surname, which seems to hide the fact that he is the fourth generation son. The name Naruto, according to Jiraiya's memories in Chapter 382, ​​comes from the name of the protagonist in his book "Jiraiya's Heroic Story" - Naruto. In addition, in Chapter 370, it is known that when the Fourth Hokage sealed the Nine-Tails, he deliberately divided the power of the Nine-Tails into Yin and Yang halves, and only sealed the Yang Chakra in his son, while the other half disappeared. Jiraiya believed that the fourth generation had a special purpose in doing this, and he must know that something important was going on.