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Finding the Fourth Proportional to 991.82, 1,367.88 and 860.60

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Solution

The fourth proportional to 991.82, 1,367.88 and 860.60 is: 1,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.82 : 1,367.88 = 860.60 : x
  2. Step 2: Convert to fraction form
    991.82/1,367.88 = 860.60/x
  3. Step 3: Cross multiply
    991.82x = 1,367.88 × 860.60
  4. Step 4: Simplify right side
    991.82x = 1,177,197.53
  5. Step 5: Solve for x
    x = 1,177,197.53/991.82
  6. Step 6: Final answer
    x = 1,186.91

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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.