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Finding the Fourth Proportional to 552.52, 827.58 and 517.96

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Solution

The fourth proportional to 552.52, 827.58 and 517.96 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 827.58 = 517.96 : x
  2. Step 2: Convert to fraction form
    552.52/827.58 = 517.96/x
  3. Step 3: Cross multiply
    552.52x = 827.58 × 517.96
  4. Step 4: Simplify right side
    552.52x = 428,653.34
  5. Step 5: Solve for x
    x = 428,653.34/552.52
  6. Step 6: Final answer
    x = 775.82

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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.