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Finding the Fourth Proportional to 819.32, 1,229.58 and 454.82

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Solution

The fourth proportional to 819.32, 1,229.58 and 454.82 is: 682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.32 : 1,229.58 = 454.82 : x
  2. Step 2: Convert to fraction form
    819.32/1,229.58 = 454.82/x
  3. Step 3: Cross multiply
    819.32x = 1,229.58 × 454.82
  4. Step 4: Simplify right side
    819.32x = 559,231.43
  5. Step 5: Solve for x
    x = 559,231.43/819.32
  6. Step 6: Final answer
    x = 682.56

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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.