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Finding the Fourth Proportional to 478.85, 721.28 and 472.48

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Solution

The fourth proportional to 478.85, 721.28 and 472.48 is: 711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.85 : 721.28 = 472.48 : x
  2. Step 2: Convert to fraction form
    478.85/721.28 = 472.48/x
  3. Step 3: Cross multiply
    478.85x = 721.28 × 472.48
  4. Step 4: Simplify right side
    478.85x = 340,789.75
  5. Step 5: Solve for x
    x = 340,789.75/478.85
  6. Step 6: Final answer
    x = 711.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.