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Finding the Fourth Proportional to 1,092.24, 1,637.84 and 398.43

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Solution

The fourth proportional to 1,092.24, 1,637.84 and 398.43 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.24 : 1,637.84 = 398.43 : x
  2. Step 2: Convert to fraction form
    1,092.24/1,637.84 = 398.43/x
  3. Step 3: Cross multiply
    1,092.24x = 1,637.84 × 398.43
  4. Step 4: Simplify right side
    1,092.24x = 652,562.60
  5. Step 5: Solve for x
    x = 652,562.60/1,092.24
  6. Step 6: Final answer
    x = 597.45

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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.