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Finding the Fourth Proportional to 982.38, 1,473.41 and 288.97

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Solution

The fourth proportional to 982.38, 1,473.41 and 288.97 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,473.41 = 288.97 : x
  2. Step 2: Convert to fraction form
    982.38/1,473.41 = 288.97/x
  3. Step 3: Cross multiply
    982.38x = 1,473.41 × 288.97
  4. Step 4: Simplify right side
    982.38x = 425,773.85
  5. Step 5: Solve for x
    x = 425,773.85/982.38
  6. Step 6: Final answer
    x = 433.41

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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.