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Finding the Fourth Proportional to 867.80, 1,198.85 and 681.30

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Solution

The fourth proportional to 867.80, 1,198.85 and 681.30 is: 941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,198.85 = 681.30 : x
  2. Step 2: Convert to fraction form
    867.80/1,198.85 = 681.30/x
  3. Step 3: Cross multiply
    867.80x = 1,198.85 × 681.30
  4. Step 4: Simplify right side
    867.80x = 816,773.10
  5. Step 5: Solve for x
    x = 816,773.10/867.80
  6. Step 6: Final answer
    x = 941.21

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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.