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Finding the Fourth Proportional to 487.20, 729.45 and 473.70

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Solution

The fourth proportional to 487.20, 729.45 and 473.70 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.20 : 729.45 = 473.70 : x
  2. Step 2: Convert to fraction form
    487.20/729.45 = 473.70/x
  3. Step 3: Cross multiply
    487.20x = 729.45 × 473.70
  4. Step 4: Simplify right side
    487.20x = 345,540.47
  5. Step 5: Solve for x
    x = 345,540.47/487.20
  6. Step 6: Final answer
    x = 709.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.