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Finding the Fourth Proportional to 827.80, 1,240.14 and 691.72

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Solution

The fourth proportional to 827.80, 1,240.14 and 691.72 is: 1,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,240.14 = 691.72 : x
  2. Step 2: Convert to fraction form
    827.80/1,240.14 = 691.72/x
  3. Step 3: Cross multiply
    827.80x = 1,240.14 × 691.72
  4. Step 4: Simplify right side
    827.80x = 857,829.64
  5. Step 5: Solve for x
    x = 857,829.64/827.80
  6. Step 6: Final answer
    x = 1,036.28

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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.