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Finding the Fourth Proportional to 580.74, 871.42 and 385.26

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Solution

The fourth proportional to 580.74, 871.42 and 385.26 is: 578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 871.42 = 385.26 : x
  2. Step 2: Convert to fraction form
    580.74/871.42 = 385.26/x
  3. Step 3: Cross multiply
    580.74x = 871.42 × 385.26
  4. Step 4: Simplify right side
    580.74x = 335,723.27
  5. Step 5: Solve for x
    x = 335,723.27/580.74
  6. Step 6: Final answer
    x = 578.10

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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.