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Finding the Fourth Proportional to 827.10, 1,237.92 and 690.42

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Solution

The fourth proportional to 827.10, 1,237.92 and 690.42 is: 1,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.10 : 1,237.92 = 690.42 : x
  2. Step 2: Convert to fraction form
    827.10/1,237.92 = 690.42/x
  3. Step 3: Cross multiply
    827.10x = 1,237.92 × 690.42
  4. Step 4: Simplify right side
    827.10x = 854,684.73
  5. Step 5: Solve for x
    x = 854,684.73/827.10
  6. Step 6: Final answer
    x = 1,033.35

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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.