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Finding the Fourth Proportional to 987.97, 1,481.62 and 338.55

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Solution

The fourth proportional to 987.97, 1,481.62 and 338.55 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.97 : 1,481.62 = 338.55 : x
  2. Step 2: Convert to fraction form
    987.97/1,481.62 = 338.55/x
  3. Step 3: Cross multiply
    987.97x = 1,481.62 × 338.55
  4. Step 4: Simplify right side
    987.97x = 501,608.23
  5. Step 5: Solve for x
    x = 501,608.23/987.97
  6. Step 6: Final answer
    x = 507.71

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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.