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Finding the Fourth Proportional to 1,324.56, 1,986.57 and 458.58

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Solution

The fourth proportional to 1,324.56, 1,986.57 and 458.58 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.56 : 1,986.57 = 458.58 : x
  2. Step 2: Convert to fraction form
    1,324.56/1,986.57 = 458.58/x
  3. Step 3: Cross multiply
    1,324.56x = 1,986.57 × 458.58
  4. Step 4: Simplify right side
    1,324.56x = 911,001.27
  5. Step 5: Solve for x
    x = 911,001.27/1,324.56
  6. Step 6: Final answer
    x = 687.78

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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.