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Finding the Fourth Proportional to 724.21, 999.39 and 413.71

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Solution

The fourth proportional to 724.21, 999.39 and 413.71 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 999.39 = 413.71 : x
  2. Step 2: Convert to fraction form
    724.21/999.39 = 413.71/x
  3. Step 3: Cross multiply
    724.21x = 999.39 × 413.71
  4. Step 4: Simplify right side
    724.21x = 413,457.64
  5. Step 5: Solve for x
    x = 413,457.64/724.21
  6. Step 6: Final answer
    x = 570.91

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Why These Related Problems?

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