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Finding the Fourth Proportional to 996.57, 1,375.38 and 747.46

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Solution

The fourth proportional to 996.57, 1,375.38 and 747.46 is: 1,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.57 : 1,375.38 = 747.46 : x
  2. Step 2: Convert to fraction form
    996.57/1,375.38 = 747.46/x
  3. Step 3: Cross multiply
    996.57x = 1,375.38 × 747.46
  4. Step 4: Simplify right side
    996.57x = 1,028,043.25
  5. Step 5: Solve for x
    x = 1,028,043.25/996.57
  6. Step 6: Final answer
    x = 1,031.58

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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.