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Finding the Fourth Proportional to 744.72, 1,027.76 and 413.22

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Solution

The fourth proportional to 744.72, 1,027.76 and 413.22 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.72 : 1,027.76 = 413.22 : x
  2. Step 2: Convert to fraction form
    744.72/1,027.76 = 413.22/x
  3. Step 3: Cross multiply
    744.72x = 1,027.76 × 413.22
  4. Step 4: Simplify right side
    744.72x = 424,690.99
  5. Step 5: Solve for x
    x = 424,690.99/744.72
  6. Step 6: Final answer
    x = 570.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.