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Finding the Fourth Proportional to 731.09, 1,098.90 and 489.17

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Solution

The fourth proportional to 731.09, 1,098.90 and 489.17 is: 735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,098.90 = 489.17 : x
  2. Step 2: Convert to fraction form
    731.09/1,098.90 = 489.17/x
  3. Step 3: Cross multiply
    731.09x = 1,098.90 × 489.17
  4. Step 4: Simplify right side
    731.09x = 537,551.66
  5. Step 5: Solve for x
    x = 537,551.66/731.09
  6. Step 6: Final answer
    x = 735.27

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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.