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Finding the Fourth Proportional to 478.70, 721.87 and 472.19

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Solution

The fourth proportional to 478.70, 721.87 and 472.19 is: 712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.70 : 721.87 = 472.19 : x
  2. Step 2: Convert to fraction form
    478.70/721.87 = 472.19/x
  3. Step 3: Cross multiply
    478.70x = 721.87 × 472.19
  4. Step 4: Simplify right side
    478.70x = 340,859.80
  5. Step 5: Solve for x
    x = 340,859.80/478.70
  6. Step 6: Final answer
    x = 712.06

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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.