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Finding the Fourth Proportional to 987.92, 1,481.40 and 294.41

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Solution

The fourth proportional to 987.92, 1,481.40 and 294.41 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.92 : 1,481.40 = 294.41 : x
  2. Step 2: Convert to fraction form
    987.92/1,481.40 = 294.41/x
  3. Step 3: Cross multiply
    987.92x = 1,481.40 × 294.41
  4. Step 4: Simplify right side
    987.92x = 436,138.97
  5. Step 5: Solve for x
    x = 436,138.97/987.92
  6. Step 6: Final answer
    x = 441.47

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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.