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Finding the Fourth Proportional to 809.14, 1,213.56 and 232.06

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Solution

The fourth proportional to 809.14, 1,213.56 and 232.06 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.14 : 1,213.56 = 232.06 : x
  2. Step 2: Convert to fraction form
    809.14/1,213.56 = 232.06/x
  3. Step 3: Cross multiply
    809.14x = 1,213.56 × 232.06
  4. Step 4: Simplify right side
    809.14x = 281,618.73
  5. Step 5: Solve for x
    x = 281,618.73/809.14
  6. Step 6: Final answer
    x = 348.05

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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.