When the Prophet ﷺ performed the Tawaf of the Kaʿba, he did Ramal during the first three rounds and in the last four rounds he used to walk and while doing Tawaf between Safa and Marwa, he used to run in the midst of the rain water passage.  

أَنَّ النَّبِيَّ ﷺ كَانَ إِذَا طَافَ بِالْبَيْتِ الطَّوَافَ الأَوَّلَ يَخُبُّ ثَلاَثَةَ أَطْوَافٍ وَيَمْشِي أَرْبَعَةً وَأَنَّهُ كَانَ يَسْعَى بَطْنَ الْمَسِيلِ إِذَا طَافَ بَيْنَ الصَّفَا وَالْمَرْوَةِ  

When Messenger of Allah ﷺ and his companions came to Mecca, the pagans circulated the news that a group of people were coming to them and they had been weakened by the Fever of Yathrib (Medina). So the Prophet ordered his companions to do Ramal in the first three rounds of Tawaf of the Kaʿba and to walk between the two corners (The Black Stone and Yemenite corner). The Prophet ﷺ did not order them to do Ramal in all the rounds of Tawaf out of pity for them.  

قَدِمَ رَسُولُ اللَّهِ ﷺ وَأَصْحَابُهُ فَقَالَ الْمُشْرِكُونَ إِنَّهُ يَقْدَمُ عَلَيْكُمْ وَقَدْ وَهَنَهُمْ حُمَّى يَثْرِبَ فَأَمَرَهُمُ النَّبِيُّ ﷺ أَنْ يَرْمُلُوا الأَشْوَاطَ الثَّلاَثَةَ وَأَنْ يَمْشُوا مَا بَيْنَ الرُّكْنَيْنِ وَلَمْ يَمْنَعْهُ أَنْ يَأْمُرَهُمْ أَنْ يَرْمُلُوا الأَشْوَاطَ كُلَّهَا إِلاَّ الإِبْقَاءُ عَلَيْهِمْ  

Messenger of Allah ﷺ performed Tawaf of the Kaʿba and the Saʿi of Safa and Marwa so as to show his strength to the pagans.  

إِنَّمَا سَعَى رَسُولُ اللَّهِ ﷺ بِالْبَيْتِ وَبَيْنَ الصَّفَا وَالْمَرْوَةِ لِيُرِيَ الْمُشْرِكِينَ قُوَّتَهُ زَادَ الْحُمَيْدِيُّ حَدَّثَنَا سُفْيَانُ حَدَّثَنَا عَمْرٌو سَمِعْتُ عَطَاءً عَنِ ابْنِ عَبَّاسٍ مِثْلَهُ