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Finding the Fourth Proportional to 1,092.43, 1,638.14 and 398.61

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Solution

The fourth proportional to 1,092.43, 1,638.14 and 398.61 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.43 : 1,638.14 = 398.61 : x
  2. Step 2: Convert to fraction form
    1,092.43/1,638.14 = 398.61/x
  3. Step 3: Cross multiply
    1,092.43x = 1,638.14 × 398.61
  4. Step 4: Simplify right side
    1,092.43x = 652,976.99
  5. Step 5: Solve for x
    x = 652,976.99/1,092.43
  6. Step 6: Final answer
    x = 597.73

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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.