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Finding the Fourth Proportional to 768.75, 1,152.42 and 281.43

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Solution

The fourth proportional to 768.75, 1,152.42 and 281.43 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.75 : 1,152.42 = 281.43 : x
  2. Step 2: Convert to fraction form
    768.75/1,152.42 = 281.43/x
  3. Step 3: Cross multiply
    768.75x = 1,152.42 × 281.43
  4. Step 4: Simplify right side
    768.75x = 324,325.56
  5. Step 5: Solve for x
    x = 324,325.56/768.75
  6. Step 6: Final answer
    x = 421.89

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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.