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Finding the Fourth Proportional to 809.82, 1,213.90 and 517.46

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Solution

The fourth proportional to 809.82, 1,213.90 and 517.46 is: 775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,213.90 = 517.46 : x
  2. Step 2: Convert to fraction form
    809.82/1,213.90 = 517.46/x
  3. Step 3: Cross multiply
    809.82x = 1,213.90 × 517.46
  4. Step 4: Simplify right side
    809.82x = 628,144.69
  5. Step 5: Solve for x
    x = 628,144.69/809.82
  6. Step 6: Final answer
    x = 775.66

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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.