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Finding the Fourth Proportional to 809.70, 1,204.82 and 806.96

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Solution

The fourth proportional to 809.70, 1,204.82 and 806.96 is: 1,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.70 : 1,204.82 = 806.96 : x
  2. Step 2: Convert to fraction form
    809.70/1,204.82 = 806.96/x
  3. Step 3: Cross multiply
    809.70x = 1,204.82 × 806.96
  4. Step 4: Simplify right side
    809.70x = 972,248.09
  5. Step 5: Solve for x
    x = 972,248.09/809.70
  6. Step 6: Final answer
    x = 1,200.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.