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Finding the Fourth Proportional to 819.46, 1,229.20 and 674.74

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Solution

The fourth proportional to 819.46, 1,229.20 and 674.74 is: 1,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,229.20 = 674.74 : x
  2. Step 2: Convert to fraction form
    819.46/1,229.20 = 674.74/x
  3. Step 3: Cross multiply
    819.46x = 1,229.20 × 674.74
  4. Step 4: Simplify right side
    819.46x = 829,390.41
  5. Step 5: Solve for x
    x = 829,390.41/819.46
  6. Step 6: Final answer
    x = 1,012.12

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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.