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Finding the Fourth Proportional to 724.27, 1,000.04 and 538.21

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Solution

The fourth proportional to 724.27, 1,000.04 and 538.21 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.27 : 1,000.04 = 538.21 : x
  2. Step 2: Convert to fraction form
    724.27/1,000.04 = 538.21/x
  3. Step 3: Cross multiply
    724.27x = 1,000.04 × 538.21
  4. Step 4: Simplify right side
    724.27x = 538,228.52
  5. Step 5: Solve for x
    x = 538,228.52/724.27
  6. Step 6: Final answer
    x = 743.13

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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.