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Finding the Fourth Proportional to 591.56, 885.24 and 518.24

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Solution

The fourth proportional to 591.56, 885.24 and 518.24 is: 775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 885.24 = 518.24 : x
  2. Step 2: Convert to fraction form
    591.56/885.24 = 518.24/x
  3. Step 3: Cross multiply
    591.56x = 885.24 × 518.24
  4. Step 4: Simplify right side
    591.56x = 458,766.78
  5. Step 5: Solve for x
    x = 458,766.78/591.56
  6. Step 6: Final answer
    x = 775.52

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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.