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Finding the Fourth Proportional to 819.46, 1,229.42 and 299.52

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Solution

The fourth proportional to 819.46, 1,229.42 and 299.52 is: 449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,229.42 = 299.52 : x
  2. Step 2: Convert to fraction form
    819.46/1,229.42 = 299.52/x
  3. Step 3: Cross multiply
    819.46x = 1,229.42 × 299.52
  4. Step 4: Simplify right side
    819.46x = 368,235.88
  5. Step 5: Solve for x
    x = 368,235.88/819.46
  6. Step 6: Final answer
    x = 449.36

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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.