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Finding the Fourth Proportional to 981.32, 1,471.28 and 518.72

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Solution

The fourth proportional to 981.32, 1,471.28 and 518.72 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.32 : 1,471.28 = 518.72 : x
  2. Step 2: Convert to fraction form
    981.32/1,471.28 = 518.72/x
  3. Step 3: Cross multiply
    981.32x = 1,471.28 × 518.72
  4. Step 4: Simplify right side
    981.32x = 763,182.36
  5. Step 5: Solve for x
    x = 763,182.36/981.32
  6. Step 6: Final answer
    x = 777.71

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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.