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Finding the Fourth Proportional to 992.82, 1,369.26 and 861.60

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Solution

The fourth proportional to 992.82, 1,369.26 and 861.60 is: 1,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.82 : 1,369.26 = 861.60 : x
  2. Step 2: Convert to fraction form
    992.82/1,369.26 = 861.60/x
  3. Step 3: Cross multiply
    992.82x = 1,369.26 × 861.60
  4. Step 4: Simplify right side
    992.82x = 1,179,754.42
  5. Step 5: Solve for x
    x = 1,179,754.42/992.82
  6. Step 6: Final answer
    x = 1,188.29

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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.