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Finding the Fourth Proportional to 819.61, 1,227.11 and 645.34

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Solution

The fourth proportional to 819.61, 1,227.11 and 645.34 is: 966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.61 : 1,227.11 = 645.34 : x
  2. Step 2: Convert to fraction form
    819.61/1,227.11 = 645.34/x
  3. Step 3: Cross multiply
    819.61x = 1,227.11 × 645.34
  4. Step 4: Simplify right side
    819.61x = 791,899.40
  5. Step 5: Solve for x
    x = 791,899.40/819.61
  6. Step 6: Final answer
    x = 966.19

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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.