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Finding the Fourth Proportional to 1,103.52, 1,654.20 and 453.90

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Solution

The fourth proportional to 1,103.52, 1,654.20 and 453.90 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.52 : 1,654.20 = 453.90 : x
  2. Step 2: Convert to fraction form
    1,103.52/1,654.20 = 453.90/x
  3. Step 3: Cross multiply
    1,103.52x = 1,654.20 × 453.90
  4. Step 4: Simplify right side
    1,103.52x = 750,841.38
  5. Step 5: Solve for x
    x = 750,841.38/1,103.52
  6. Step 6: Final answer
    x = 680.41

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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.