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Finding the Fourth Proportional to 827.32, 1,140.78 and 532.18

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Solution

The fourth proportional to 827.32, 1,140.78 and 532.18 is: 733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,140.78 = 532.18 : x
  2. Step 2: Convert to fraction form
    827.32/1,140.78 = 532.18/x
  3. Step 3: Cross multiply
    827.32x = 1,140.78 × 532.18
  4. Step 4: Simplify right side
    827.32x = 607,100.30
  5. Step 5: Solve for x
    x = 607,100.30/827.32
  6. Step 6: Final answer
    x = 733.82

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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.