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Finding the Fourth Proportional to 981.62, 1,471.49 and 331.88

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Solution

The fourth proportional to 981.62, 1,471.49 and 331.88 is: 497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.62 : 1,471.49 = 331.88 : x
  2. Step 2: Convert to fraction form
    981.62/1,471.49 = 331.88/x
  3. Step 3: Cross multiply
    981.62x = 1,471.49 × 331.88
  4. Step 4: Simplify right side
    981.62x = 488,349.08
  5. Step 5: Solve for x
    x = 488,349.08/981.62
  6. Step 6: Final answer
    x = 497.50

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Double scale
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1.5x scale

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.