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Finding the Fourth Proportional to 997.29, 1,487.15 and 928.04

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Solution

The fourth proportional to 997.29, 1,487.15 and 928.04 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.29 : 1,487.15 = 928.04 : x
  2. Step 2: Convert to fraction form
    997.29/1,487.15 = 928.04/x
  3. Step 3: Cross multiply
    997.29x = 1,487.15 × 928.04
  4. Step 4: Simplify right side
    997.29x = 1,380,126.09
  5. Step 5: Solve for x
    x = 1,380,126.09/997.29
  6. Step 6: Final answer
    x = 1,383.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.