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Finding the Fourth Proportional to 992.75, 1,370.00 and 868.82

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Solution

The fourth proportional to 992.75, 1,370.00 and 868.82 is: 1,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,370.00 = 868.82 : x
  2. Step 2: Convert to fraction form
    992.75/1,370.00 = 868.82/x
  3. Step 3: Cross multiply
    992.75x = 1,370.00 × 868.82
  4. Step 4: Simplify right side
    992.75x = 1,190,279.06
  5. Step 5: Solve for x
    x = 1,190,279.06/992.75
  6. Step 6: Final answer
    x = 1,198.97

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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.