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Finding the Fourth Proportional to 981.22, 1,471.84 and 331.98

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Solution

The fourth proportional to 981.22, 1,471.84 and 331.98 is: 497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.22 : 1,471.84 = 331.98 : x
  2. Step 2: Convert to fraction form
    981.22/1,471.84 = 331.98/x
  3. Step 3: Cross multiply
    981.22x = 1,471.84 × 331.98
  4. Step 4: Simplify right side
    981.22x = 488,621.44
  5. Step 5: Solve for x
    x = 488,621.44/981.22
  6. Step 6: Final answer
    x = 497.97

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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.