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Finding the Fourth Proportional to 1,631.89, 2,447.09 and 809.88

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Solution

The fourth proportional to 1,631.89, 2,447.09 and 809.88 is: 1,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.89 : 2,447.09 = 809.88 : x
  2. Step 2: Convert to fraction form
    1,631.89/2,447.09 = 809.88/x
  3. Step 3: Cross multiply
    1,631.89x = 2,447.09 × 809.88
  4. Step 4: Simplify right side
    1,631.89x = 1,981,832.96
  5. Step 5: Solve for x
    x = 1,981,832.96/1,631.89
  6. Step 6: Final answer
    x = 1,214.44

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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.