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Finding the Fourth Proportional to 487.53, 725.03 and 472.16

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Solution

The fourth proportional to 487.53, 725.03 and 472.16 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.53 : 725.03 = 472.16 : x
  2. Step 2: Convert to fraction form
    487.53/725.03 = 472.16/x
  3. Step 3: Cross multiply
    487.53x = 725.03 × 472.16
  4. Step 4: Simplify right side
    487.53x = 342,326.54
  5. Step 5: Solve for x
    x = 342,326.54/487.53
  6. Step 6: Final answer
    x = 702.16

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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.