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Finding the Fourth Proportional to 882.33, 1,324.22 and 449.61

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Solution

The fourth proportional to 882.33, 1,324.22 and 449.61 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.33 : 1,324.22 = 449.61 : x
  2. Step 2: Convert to fraction form
    882.33/1,324.22 = 449.61/x
  3. Step 3: Cross multiply
    882.33x = 1,324.22 × 449.61
  4. Step 4: Simplify right side
    882.33x = 595,380.31
  5. Step 5: Solve for x
    x = 595,380.31/882.33
  6. Step 6: Final answer
    x = 674.78

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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.