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Finding the Fourth Proportional to 809.54, 1,213.28 and 516.95

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Solution

The fourth proportional to 809.54, 1,213.28 and 516.95 is: 774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.54 : 1,213.28 = 516.95 : x
  2. Step 2: Convert to fraction form
    809.54/1,213.28 = 516.95/x
  3. Step 3: Cross multiply
    809.54x = 1,213.28 × 516.95
  4. Step 4: Simplify right side
    809.54x = 627,205.10
  5. Step 5: Solve for x
    x = 627,205.10/809.54
  6. Step 6: Final answer
    x = 774.77

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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.