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Finding the Fourth Proportional to 769.20, 1,065.95 and 754.62

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Solution

The fourth proportional to 769.20, 1,065.95 and 754.62 is: 1,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.20 : 1,065.95 = 754.62 : x
  2. Step 2: Convert to fraction form
    769.20/1,065.95 = 754.62/x
  3. Step 3: Cross multiply
    769.20x = 1,065.95 × 754.62
  4. Step 4: Simplify right side
    769.20x = 804,387.19
  5. Step 5: Solve for x
    x = 804,387.19/769.20
  6. Step 6: Final answer
    x = 1,045.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.