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Finding the Fourth Proportional to 827.42, 1,238.39 and 798.26

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Solution

The fourth proportional to 827.42, 1,238.39 and 798.26 is: 1,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,238.39 = 798.26 : x
  2. Step 2: Convert to fraction form
    827.42/1,238.39 = 798.26/x
  3. Step 3: Cross multiply
    827.42x = 1,238.39 × 798.26
  4. Step 4: Simplify right side
    827.42x = 988,550.01
  5. Step 5: Solve for x
    x = 988,550.01/827.42
  6. Step 6: Final answer
    x = 1,194.75

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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.