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Finding the Fourth Proportional to 982.44, 1,472.94 and 839.16

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Solution

The fourth proportional to 982.44, 1,472.94 and 839.16 is: 1,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 1,472.94 = 839.16 : x
  2. Step 2: Convert to fraction form
    982.44/1,472.94 = 839.16/x
  3. Step 3: Cross multiply
    982.44x = 1,472.94 × 839.16
  4. Step 4: Simplify right side
    982.44x = 1,236,032.33
  5. Step 5: Solve for x
    x = 1,236,032.33/982.44
  6. Step 6: Final answer
    x = 1,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.