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Finding the Fourth Proportional to 731.73, 1,098.44 and 578.17

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Solution

The fourth proportional to 731.73, 1,098.44 and 578.17 is: 867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.73 : 1,098.44 = 578.17 : x
  2. Step 2: Convert to fraction form
    731.73/1,098.44 = 578.17/x
  3. Step 3: Cross multiply
    731.73x = 1,098.44 × 578.17
  4. Step 4: Simplify right side
    731.73x = 635,076.67
  5. Step 5: Solve for x
    x = 635,076.67/731.73
  6. Step 6: Final answer
    x = 867.91

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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.