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Finding the Fourth Proportional to 809.27, 1,213.18 and 686.65

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Solution

The fourth proportional to 809.27, 1,213.18 and 686.65 is: 1,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.27 : 1,213.18 = 686.65 : x
  2. Step 2: Convert to fraction form
    809.27/1,213.18 = 686.65/x
  3. Step 3: Cross multiply
    809.27x = 1,213.18 × 686.65
  4. Step 4: Simplify right side
    809.27x = 833,030.98
  5. Step 5: Solve for x
    x = 833,030.98/809.27
  6. Step 6: Final answer
    x = 1,029.37

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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.