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Finding the Fourth Proportional to 768.20, 1,158.60 and 743.56

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Solution

The fourth proportional to 768.20, 1,158.60 and 743.56 is: 1,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.20 : 1,158.60 = 743.56 : x
  2. Step 2: Convert to fraction form
    768.20/1,158.60 = 743.56/x
  3. Step 3: Cross multiply
    768.20x = 1,158.60 × 743.56
  4. Step 4: Simplify right side
    768.20x = 861,488.62
  5. Step 5: Solve for x
    x = 861,488.62/768.20
  6. Step 6: Final answer
    x = 1,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.