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Finding the Fourth Proportional to 724.60, 1,006.89 and 717.08

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Solution

The fourth proportional to 724.60, 1,006.89 and 717.08 is: 996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.60 : 1,006.89 = 717.08 : x
  2. Step 2: Convert to fraction form
    724.60/1,006.89 = 717.08/x
  3. Step 3: Cross multiply
    724.60x = 1,006.89 × 717.08
  4. Step 4: Simplify right side
    724.60x = 722,012.96
  5. Step 5: Solve for x
    x = 722,012.96/724.60
  6. Step 6: Final answer
    x = 996.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.