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Finding the Fourth Proportional to 768.87, 1,153.19 and 281.81

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Solution

The fourth proportional to 768.87, 1,153.19 and 281.81 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,153.19 = 281.81 : x
  2. Step 2: Convert to fraction form
    768.87/1,153.19 = 281.81/x
  3. Step 3: Cross multiply
    768.87x = 1,153.19 × 281.81
  4. Step 4: Simplify right side
    768.87x = 324,973.30
  5. Step 5: Solve for x
    x = 324,973.30/768.87
  6. Step 6: Final answer
    x = 422.66

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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.