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Finding the Fourth Proportional to 1,445.97, 2,169.11 and 458.83

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Solution

The fourth proportional to 1,445.97, 2,169.11 and 458.83 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.97 : 2,169.11 = 458.83 : x
  2. Step 2: Convert to fraction form
    1,445.97/2,169.11 = 458.83/x
  3. Step 3: Cross multiply
    1,445.97x = 2,169.11 × 458.83
  4. Step 4: Simplify right side
    1,445.97x = 995,252.74
  5. Step 5: Solve for x
    x = 995,252.74/1,445.97
  6. Step 6: Final answer
    x = 688.29

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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.