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Finding the Fourth Proportional to 768.73, 1,153.10 and 281.44

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Solution

The fourth proportional to 768.73, 1,153.10 and 281.44 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.73 : 1,153.10 = 281.44 : x
  2. Step 2: Convert to fraction form
    768.73/1,153.10 = 281.44/x
  3. Step 3: Cross multiply
    768.73x = 1,153.10 × 281.44
  4. Step 4: Simplify right side
    768.73x = 324,528.46
  5. Step 5: Solve for x
    x = 324,528.46/768.73
  6. Step 6: Final answer
    x = 422.16

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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.