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Finding the Fourth Proportional to 839.97, 1,151.60 and 827.19

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Solution

The fourth proportional to 839.97, 1,151.60 and 827.19 is: 1,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,151.60 = 827.19 : x
  2. Step 2: Convert to fraction form
    839.97/1,151.60 = 827.19/x
  3. Step 3: Cross multiply
    839.97x = 1,151.60 × 827.19
  4. Step 4: Simplify right side
    839.97x = 952,587.87
  5. Step 5: Solve for x
    x = 952,587.87/839.97
  6. Step 6: Final answer
    x = 1,134.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.