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Finding the Fourth Proportional to 837.97, 1,247.44 and 798.18

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Solution

The fourth proportional to 837.97, 1,247.44 and 798.18 is: 1,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.97 : 1,247.44 = 798.18 : x
  2. Step 2: Convert to fraction form
    837.97/1,247.44 = 798.18/x
  3. Step 3: Cross multiply
    837.97x = 1,247.44 × 798.18
  4. Step 4: Simplify right side
    837.97x = 995,681.66
  5. Step 5: Solve for x
    x = 995,681.66/837.97
  6. Step 6: Final answer
    x = 1,188.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.