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Finding the Fourth Proportional to 769.26, 1,061.42 and 532.85

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Solution

The fourth proportional to 769.26, 1,061.42 and 532.85 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.26 : 1,061.42 = 532.85 : x
  2. Step 2: Convert to fraction form
    769.26/1,061.42 = 532.85/x
  3. Step 3: Cross multiply
    769.26x = 1,061.42 × 532.85
  4. Step 4: Simplify right side
    769.26x = 565,569.68
  5. Step 5: Solve for x
    x = 565,569.68/769.26
  6. Step 6: Final answer
    x = 735.21

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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.