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Finding the Fourth Proportional to 580.74, 871.28 and 169.88

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Solution

The fourth proportional to 580.74, 871.28 and 169.88 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 871.28 = 169.88 : x
  2. Step 2: Convert to fraction form
    580.74/871.28 = 169.88/x
  3. Step 3: Cross multiply
    580.74x = 871.28 × 169.88
  4. Step 4: Simplify right side
    580.74x = 148,013.05
  5. Step 5: Solve for x
    x = 148,013.05/580.74
  6. Step 6: Final answer
    x = 254.87

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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.