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Finding the Fourth Proportional to 580.96, 871.62 and 256.42

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Solution

The fourth proportional to 580.96, 871.62 and 256.42 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 871.62 = 256.42 : x
  2. Step 2: Convert to fraction form
    580.96/871.62 = 256.42/x
  3. Step 3: Cross multiply
    580.96x = 871.62 × 256.42
  4. Step 4: Simplify right side
    580.96x = 223,500.80
  5. Step 5: Solve for x
    x = 223,500.80/580.96
  6. Step 6: Final answer
    x = 384.71

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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.