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Finding the Fourth Proportional to 997.16, 1,374.14 and 748.76

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Solution

The fourth proportional to 997.16, 1,374.14 and 748.76 is: 1,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.16 : 1,374.14 = 748.76 : x
  2. Step 2: Convert to fraction form
    997.16/1,374.14 = 748.76/x
  3. Step 3: Cross multiply
    997.16x = 1,374.14 × 748.76
  4. Step 4: Simplify right side
    997.16x = 1,028,901.07
  5. Step 5: Solve for x
    x = 1,028,901.07/997.16
  6. Step 6: Final answer
    x = 1,031.83

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Half scale
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Double scale
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1.5x scale

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.