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Finding the Fourth Proportional to 871.44, 1,202 and 560.80

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Solution

The fourth proportional to 871.44, 1,202 and 560.80 is: 773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.44 : 1,202 = 560.80 : x
  2. Step 2: Convert to fraction form
    871.44/1,202 = 560.80/x
  3. Step 3: Cross multiply
    871.44x = 1,202 × 560.80
  4. Step 4: Simplify right side
    871.44x = 674,081.60
  5. Step 5: Solve for x
    x = 674,081.60/871.44
  6. Step 6: Final answer
    x = 773.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.