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Finding the Fourth Proportional to 986.13, 1,362.54 and 861.60

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Solution

The fourth proportional to 986.13, 1,362.54 and 861.60 is: 1,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,362.54 = 861.60 : x
  2. Step 2: Convert to fraction form
    986.13/1,362.54 = 861.60/x
  3. Step 3: Cross multiply
    986.13x = 1,362.54 × 861.60
  4. Step 4: Simplify right side
    986.13x = 1,173,964.46
  5. Step 5: Solve for x
    x = 1,173,964.46/986.13
  6. Step 6: Final answer
    x = 1,190.48

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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.