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Finding the Fourth Proportional to 981.31, 1,471.97 and 332.10

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Solution

The fourth proportional to 981.31, 1,471.97 and 332.10 is: 498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.31 : 1,471.97 = 332.10 : x
  2. Step 2: Convert to fraction form
    981.31/1,471.97 = 332.10/x
  3. Step 3: Cross multiply
    981.31x = 1,471.97 × 332.10
  4. Step 4: Simplify right side
    981.31x = 488,837.56
  5. Step 5: Solve for x
    x = 488,837.56/981.31
  6. Step 6: Final answer
    x = 498.15

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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.