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Finding the Fourth Proportional to 997.68, 1,372.23 and 800.76

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Solution

The fourth proportional to 997.68, 1,372.23 and 800.76 is: 1,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.68 : 1,372.23 = 800.76 : x
  2. Step 2: Convert to fraction form
    997.68/1,372.23 = 800.76/x
  3. Step 3: Cross multiply
    997.68x = 1,372.23 × 800.76
  4. Step 4: Simplify right side
    997.68x = 1,098,826.89
  5. Step 5: Solve for x
    x = 1,098,826.89/997.68
  6. Step 6: Final answer
    x = 1,101.38

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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.