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Finding the Fourth Proportional to 819.42, 1,227.17 and 471.71

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Solution

The fourth proportional to 819.42, 1,227.17 and 471.71 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.42 : 1,227.17 = 471.71 : x
  2. Step 2: Convert to fraction form
    819.42/1,227.17 = 471.71/x
  3. Step 3: Cross multiply
    819.42x = 1,227.17 × 471.71
  4. Step 4: Simplify right side
    819.42x = 578,863.40
  5. Step 5: Solve for x
    x = 578,863.40/819.42
  6. Step 6: Final answer
    x = 706.43

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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.