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Finding the Fourth Proportional to 578.29, 871.43 and 523.61

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Solution

The fourth proportional to 578.29, 871.43 and 523.61 is: 789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 871.43 = 523.61 : x
  2. Step 2: Convert to fraction form
    578.29/871.43 = 523.61/x
  3. Step 3: Cross multiply
    578.29x = 871.43 × 523.61
  4. Step 4: Simplify right side
    578.29x = 456,289.46
  5. Step 5: Solve for x
    x = 456,289.46/578.29
  6. Step 6: Final answer
    x = 789.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.