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Finding the Fourth Proportional to 982.53, 1,472.58 and 861.03

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Solution

The fourth proportional to 982.53, 1,472.58 and 861.03 is: 1,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.53 : 1,472.58 = 861.03 : x
  2. Step 2: Convert to fraction form
    982.53/1,472.58 = 861.03/x
  3. Step 3: Cross multiply
    982.53x = 1,472.58 × 861.03
  4. Step 4: Simplify right side
    982.53x = 1,267,935.56
  5. Step 5: Solve for x
    x = 1,267,935.56/982.53
  6. Step 6: Final answer
    x = 1,290.48

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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.