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Finding the Fourth Proportional to 811.62, 1,217.66 and 343.31

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Solution

The fourth proportional to 811.62, 1,217.66 and 343.31 is: 515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,217.66 = 343.31 : x
  2. Step 2: Convert to fraction form
    811.62/1,217.66 = 343.31/x
  3. Step 3: Cross multiply
    811.62x = 1,217.66 × 343.31
  4. Step 4: Simplify right side
    811.62x = 418,027.05
  5. Step 5: Solve for x
    x = 418,027.05/811.62
  6. Step 6: Final answer
    x = 515.05

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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.