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Finding the Fourth Proportional to 1,098.73, 1,647.80 and 449.34

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Solution

The fourth proportional to 1,098.73, 1,647.80 and 449.34 is: 673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.73 : 1,647.80 = 449.34 : x
  2. Step 2: Convert to fraction form
    1,098.73/1,647.80 = 449.34/x
  3. Step 3: Cross multiply
    1,098.73x = 1,647.80 × 449.34
  4. Step 4: Simplify right side
    1,098.73x = 740,414.21
  5. Step 5: Solve for x
    x = 740,414.21/1,098.73
  6. Step 6: Final answer
    x = 673.88

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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.