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Finding the Fourth Proportional to 577.40, 866.07 and 252.59

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Solution

The fourth proportional to 577.40, 866.07 and 252.59 is: 378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 866.07 = 252.59 : x
  2. Step 2: Convert to fraction form
    577.40/866.07 = 252.59/x
  3. Step 3: Cross multiply
    577.40x = 866.07 × 252.59
  4. Step 4: Simplify right side
    577.40x = 218,760.62
  5. Step 5: Solve for x
    x = 218,760.62/577.40
  6. Step 6: Final answer
    x = 378.87

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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.