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Finding the Fourth Proportional to 577.27, 866.04 and 252.73

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Solution

The fourth proportional to 577.27, 866.04 and 252.73 is: 379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.27 : 866.04 = 252.73 : x
  2. Step 2: Convert to fraction form
    577.27/866.04 = 252.73/x
  3. Step 3: Cross multiply
    577.27x = 866.04 × 252.73
  4. Step 4: Simplify right side
    577.27x = 218,868.70
  5. Step 5: Solve for x
    x = 218,868.70/577.27
  6. Step 6: Final answer
    x = 379.15

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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.