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Finding the Fourth Proportional to 578.26, 862.57 and 523.54

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Solution

The fourth proportional to 578.26, 862.57 and 523.54 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 862.57 = 523.54 : x
  2. Step 2: Convert to fraction form
    578.26/862.57 = 523.54/x
  3. Step 3: Cross multiply
    578.26x = 862.57 × 523.54
  4. Step 4: Simplify right side
    578.26x = 451,589.90
  5. Step 5: Solve for x
    x = 451,589.90/578.26
  6. Step 6: Final answer
    x = 780.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.