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Finding the Fourth Proportional to 818.87, 1,227.84 and 270.75

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Solution

The fourth proportional to 818.87, 1,227.84 and 270.75 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.87 : 1,227.84 = 270.75 : x
  2. Step 2: Convert to fraction form
    818.87/1,227.84 = 270.75/x
  3. Step 3: Cross multiply
    818.87x = 1,227.84 × 270.75
  4. Step 4: Simplify right side
    818.87x = 332,435.89
  5. Step 5: Solve for x
    x = 332,435.89/818.87
  6. Step 6: Final answer
    x = 405.97

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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.