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Finding the Fourth Proportional to 809.29, 1,212.91 and 516.70

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Solution

The fourth proportional to 809.29, 1,212.91 and 516.70 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.29 : 1,212.91 = 516.70 : x
  2. Step 2: Convert to fraction form
    809.29/1,212.91 = 516.70/x
  3. Step 3: Cross multiply
    809.29x = 1,212.91 × 516.70
  4. Step 4: Simplify right side
    809.29x = 626,709.31
  5. Step 5: Solve for x
    x = 626,709.31/809.29
  6. Step 6: Final answer
    x = 774.40

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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.