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Finding the Fourth Proportional to 981.24, 1,471.36 and 331.80

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Solution

The fourth proportional to 981.24, 1,471.36 and 331.80 is: 497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.24 : 1,471.36 = 331.80 : x
  2. Step 2: Convert to fraction form
    981.24/1,471.36 = 331.80/x
  3. Step 3: Cross multiply
    981.24x = 1,471.36 × 331.80
  4. Step 4: Simplify right side
    981.24x = 488,197.25
  5. Step 5: Solve for x
    x = 488,197.25/981.24
  6. Step 6: Final answer
    x = 497.53

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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.