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Finding the Fourth Proportional to 1,608.84, 2,414.04 and 731.91

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Solution

The fourth proportional to 1,608.84, 2,414.04 and 731.91 is: 1,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.84 : 2,414.04 = 731.91 : x
  2. Step 2: Convert to fraction form
    1,608.84/2,414.04 = 731.91/x
  3. Step 3: Cross multiply
    1,608.84x = 2,414.04 × 731.91
  4. Step 4: Simplify right side
    1,608.84x = 1,766,860.02
  5. Step 5: Solve for x
    x = 1,766,860.02/1,608.84
  6. Step 6: Final answer
    x = 1,098.22

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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.