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Finding the Fourth Proportional to 868.70, 1,201.12 and 759.36

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Solution

The fourth proportional to 868.70, 1,201.12 and 759.36 is: 1,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.70 : 1,201.12 = 759.36 : x
  2. Step 2: Convert to fraction form
    868.70/1,201.12 = 759.36/x
  3. Step 3: Cross multiply
    868.70x = 1,201.12 × 759.36
  4. Step 4: Simplify right side
    868.70x = 912,082.48
  5. Step 5: Solve for x
    x = 912,082.48/868.70
  6. Step 6: Final answer
    x = 1,049.94

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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.