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Finding the Fourth Proportional to 724.59, 1,000.11 and 445.02

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Solution

The fourth proportional to 724.59, 1,000.11 and 445.02 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 1,000.11 = 445.02 : x
  2. Step 2: Convert to fraction form
    724.59/1,000.11 = 445.02/x
  3. Step 3: Cross multiply
    724.59x = 1,000.11 × 445.02
  4. Step 4: Simplify right side
    724.59x = 445,068.95
  5. Step 5: Solve for x
    x = 445,068.95/724.59
  6. Step 6: Final answer
    x = 614.24

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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.