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Finding the Fourth Proportional to 982.13, 1,357.97 and 871.16

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Solution

The fourth proportional to 982.13, 1,357.97 and 871.16 is: 1,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,357.97 = 871.16 : x
  2. Step 2: Convert to fraction form
    982.13/1,357.97 = 871.16/x
  3. Step 3: Cross multiply
    982.13x = 1,357.97 × 871.16
  4. Step 4: Simplify right side
    982.13x = 1,182,998.00
  5. Step 5: Solve for x
    x = 1,182,998.00/982.13
  6. Step 6: Final answer
    x = 1,204.53

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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.