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Finding the Fourth Proportional to 982.40, 1,347.41 and 871.69

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Solution

The fourth proportional to 982.40, 1,347.41 and 871.69 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.40 : 1,347.41 = 871.69 : x
  2. Step 2: Convert to fraction form
    982.40/1,347.41 = 871.69/x
  3. Step 3: Cross multiply
    982.40x = 1,347.41 × 871.69
  4. Step 4: Simplify right side
    982.40x = 1,174,514.91
  5. Step 5: Solve for x
    x = 1,174,514.91/982.40
  6. Step 6: Final answer
    x = 1,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.