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Finding the Fourth Proportional to 1,324.38, 1,987.11 and 458.76

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Solution

The fourth proportional to 1,324.38, 1,987.11 and 458.76 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.38 : 1,987.11 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,324.38/1,987.11 = 458.76/x
  3. Step 3: Cross multiply
    1,324.38x = 1,987.11 × 458.76
  4. Step 4: Simplify right side
    1,324.38x = 911,606.58
  5. Step 5: Solve for x
    x = 911,606.58/1,324.38
  6. Step 6: Final answer
    x = 688.33

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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.