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Finding the Fourth Proportional to 577.43, 866.14 and 144.59

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Solution

The fourth proportional to 577.43, 866.14 and 144.59 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.43 : 866.14 = 144.59 : x
  2. Step 2: Convert to fraction form
    577.43/866.14 = 144.59/x
  3. Step 3: Cross multiply
    577.43x = 866.14 × 144.59
  4. Step 4: Simplify right side
    577.43x = 125,231.30
  5. Step 5: Solve for x
    x = 125,231.30/577.43
  6. Step 6: Final answer
    x = 216.88

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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.