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Finding the Fourth Proportional to 769.13, 1,153.05 and 281.90

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Solution

The fourth proportional to 769.13, 1,153.05 and 281.90 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.13 : 1,153.05 = 281.90 : x
  2. Step 2: Convert to fraction form
    769.13/1,153.05 = 281.90/x
  3. Step 3: Cross multiply
    769.13x = 1,153.05 × 281.90
  4. Step 4: Simplify right side
    769.13x = 325,044.80
  5. Step 5: Solve for x
    x = 325,044.80/769.13
  6. Step 6: Final answer
    x = 422.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.