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Finding the Fourth Proportional to 724.91, 1,082.11 and 637.33

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Solution

The fourth proportional to 724.91, 1,082.11 and 637.33 is: 951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.91 : 1,082.11 = 637.33 : x
  2. Step 2: Convert to fraction form
    724.91/1,082.11 = 637.33/x
  3. Step 3: Cross multiply
    724.91x = 1,082.11 × 637.33
  4. Step 4: Simplify right side
    724.91x = 689,657.98
  5. Step 5: Solve for x
    x = 689,657.98/724.91
  6. Step 6: Final answer
    x = 951.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.