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Finding the Fourth Proportional to 827.97, 1,140.66 and 532.73

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Solution

The fourth proportional to 827.97, 1,140.66 and 532.73 is: 733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,140.66 = 532.73 : x
  2. Step 2: Convert to fraction form
    827.97/1,140.66 = 532.73/x
  3. Step 3: Cross multiply
    827.97x = 1,140.66 × 532.73
  4. Step 4: Simplify right side
    827.97x = 607,658.10
  5. Step 5: Solve for x
    x = 607,658.10/827.97
  6. Step 6: Final answer
    x = 733.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.