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Finding the Fourth Proportional to 827.31, 1,240.13 and 519.38

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Solution

The fourth proportional to 827.31, 1,240.13 and 519.38 is: 778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.31 : 1,240.13 = 519.38 : x
  2. Step 2: Convert to fraction form
    827.31/1,240.13 = 519.38/x
  3. Step 3: Cross multiply
    827.31x = 1,240.13 × 519.38
  4. Step 4: Simplify right side
    827.31x = 644,098.72
  5. Step 5: Solve for x
    x = 644,098.72/827.31
  6. Step 6: Final answer
    x = 778.55

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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.