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Finding the Fourth Proportional to 487.47, 724.94 and 472.09

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Solution

The fourth proportional to 487.47, 724.94 and 472.09 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.47 : 724.94 = 472.09 : x
  2. Step 2: Convert to fraction form
    487.47/724.94 = 472.09/x
  3. Step 3: Cross multiply
    487.47x = 724.94 × 472.09
  4. Step 4: Simplify right side
    487.47x = 342,235.88
  5. Step 5: Solve for x
    x = 342,235.88/487.47
  6. Step 6: Final answer
    x = 702.07

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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.