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Finding the Fourth Proportional to 819.42, 1,229.10 and 682.56

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Solution

The fourth proportional to 819.42, 1,229.10 and 682.56 is: 1,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.42 : 1,229.10 = 682.56 : x
  2. Step 2: Convert to fraction form
    819.42/1,229.10 = 682.56/x
  3. Step 3: Cross multiply
    819.42x = 1,229.10 × 682.56
  4. Step 4: Simplify right side
    819.42x = 838,934.50
  5. Step 5: Solve for x
    x = 838,934.50/819.42
  6. Step 6: Final answer
    x = 1,023.82

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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.