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Finding the Fourth Proportional to 768.62, 1,153.11 and 281.78

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Solution

The fourth proportional to 768.62, 1,153.11 and 281.78 is: 422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.62 : 1,153.11 = 281.78 : x
  2. Step 2: Convert to fraction form
    768.62/1,153.11 = 281.78/x
  3. Step 3: Cross multiply
    768.62x = 1,153.11 × 281.78
  4. Step 4: Simplify right side
    768.62x = 324,923.34
  5. Step 5: Solve for x
    x = 324,923.34/768.62
  6. Step 6: Final answer
    x = 422.74

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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.