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Finding the Fourth Proportional to 831, 1,246.56 and 343.68

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Solution

The fourth proportional to 831, 1,246.56 and 343.68 is: 515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    831 : 1,246.56 = 343.68 : x
  2. Step 2: Convert to fraction form
    831/1,246.56 = 343.68/x
  3. Step 3: Cross multiply
    831x = 1,246.56 × 343.68
  4. Step 4: Simplify right side
    831x = 428,417.74
  5. Step 5: Solve for x
    x = 428,417.74/831
  6. Step 6: Final answer
    x = 515.54

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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.