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Finding the Fourth Proportional to 487.31, 729.22 and 454.73

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Solution

The fourth proportional to 487.31, 729.22 and 454.73 is: 680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.31 : 729.22 = 454.73 : x
  2. Step 2: Convert to fraction form
    487.31/729.22 = 454.73/x
  3. Step 3: Cross multiply
    487.31x = 729.22 × 454.73
  4. Step 4: Simplify right side
    487.31x = 331,594.28
  5. Step 5: Solve for x
    x = 331,594.28/487.31
  6. Step 6: Final answer
    x = 680.46

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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.