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Finding the Fourth Proportional to 726.13, 1,002.87 and 492.85

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Solution

The fourth proportional to 726.13, 1,002.87 and 492.85 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.13 : 1,002.87 = 492.85 : x
  2. Step 2: Convert to fraction form
    726.13/1,002.87 = 492.85/x
  3. Step 3: Cross multiply
    726.13x = 1,002.87 × 492.85
  4. Step 4: Simplify right side
    726.13x = 494,264.48
  5. Step 5: Solve for x
    x = 494,264.48/726.13
  6. Step 6: Final answer
    x = 680.68

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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.