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Finding the Fourth Proportional to 882.12, 1,323.78 and 449.58

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Solution

The fourth proportional to 882.12, 1,323.78 and 449.58 is: 674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,323.78 = 449.58 : x
  2. Step 2: Convert to fraction form
    882.12/1,323.78 = 449.58/x
  3. Step 3: Cross multiply
    882.12x = 1,323.78 × 449.58
  4. Step 4: Simplify right side
    882.12x = 595,145.01
  5. Step 5: Solve for x
    x = 595,145.01/882.12
  6. Step 6: Final answer
    x = 674.68

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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.