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Finding the Fourth Proportional to 997.92, 1,377.08 and 749.04

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Solution

The fourth proportional to 997.92, 1,377.08 and 749.04 is: 1,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,377.08 = 749.04 : x
  2. Step 2: Convert to fraction form
    997.92/1,377.08 = 749.04/x
  3. Step 3: Cross multiply
    997.92x = 1,377.08 × 749.04
  4. Step 4: Simplify right side
    997.92x = 1,031,488.00
  5. Step 5: Solve for x
    x = 1,031,488.00/997.92
  6. Step 6: Final answer
    x = 1,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.