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Finding the Fourth Proportional to 726.28, 1,002.72 and 499.55

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Solution

The fourth proportional to 726.28, 1,002.72 and 499.55 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.28 : 1,002.72 = 499.55 : x
  2. Step 2: Convert to fraction form
    726.28/1,002.72 = 499.55/x
  3. Step 3: Cross multiply
    726.28x = 1,002.72 × 499.55
  4. Step 4: Simplify right side
    726.28x = 500,901.26
  5. Step 5: Solve for x
    x = 500,901.26/726.28
  6. Step 6: Final answer
    x = 689.68

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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.