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Finding the Fourth Proportional to 768.79, 1,152.50 and 281.73

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Solution

The fourth proportional to 768.79, 1,152.50 and 281.73 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.79 : 1,152.50 = 281.73 : x
  2. Step 2: Convert to fraction form
    768.79/1,152.50 = 281.73/x
  3. Step 3: Cross multiply
    768.79x = 1,152.50 × 281.73
  4. Step 4: Simplify right side
    768.79x = 324,691.65
  5. Step 5: Solve for x
    x = 324,691.65/768.79
  6. Step 6: Final answer
    x = 422.34

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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.