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Finding the Fourth Proportional to 827.32, 1,238.82 and 662.02

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Solution

The fourth proportional to 827.32, 1,238.82 and 662.02 is: 991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,238.82 = 662.02 : x
  2. Step 2: Convert to fraction form
    827.32/1,238.82 = 662.02/x
  3. Step 3: Cross multiply
    827.32x = 1,238.82 × 662.02
  4. Step 4: Simplify right side
    827.32x = 820,123.62
  5. Step 5: Solve for x
    x = 820,123.62/827.32
  6. Step 6: Final answer
    x = 991.30

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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.