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Finding the Fourth Proportional to 724.55, 1,087.05 and 432.38

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Solution

The fourth proportional to 724.55, 1,087.05 and 432.38 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.55 : 1,087.05 = 432.38 : x
  2. Step 2: Convert to fraction form
    724.55/1,087.05 = 432.38/x
  3. Step 3: Cross multiply
    724.55x = 1,087.05 × 432.38
  4. Step 4: Simplify right side
    724.55x = 470,013.24
  5. Step 5: Solve for x
    x = 470,013.24/724.55
  6. Step 6: Final answer
    x = 648.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.