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Finding the Fourth Proportional to 580.24, 871.56 and 560.80

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Solution

The fourth proportional to 580.24, 871.56 and 560.80 is: 842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.24 : 871.56 = 560.80 : x
  2. Step 2: Convert to fraction form
    580.24/871.56 = 560.80/x
  3. Step 3: Cross multiply
    580.24x = 871.56 × 560.80
  4. Step 4: Simplify right side
    580.24x = 488,770.85
  5. Step 5: Solve for x
    x = 488,770.85/580.24
  6. Step 6: Final answer
    x = 842.36

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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.