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Finding the Fourth Proportional to 412.99, 568.42 and 329.83

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Solution

The fourth proportional to 412.99, 568.42 and 329.83 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.99 : 568.42 = 329.83 : x
  2. Step 2: Convert to fraction form
    412.99/568.42 = 329.83/x
  3. Step 3: Cross multiply
    412.99x = 568.42 × 329.83
  4. Step 4: Simplify right side
    412.99x = 187,481.97
  5. Step 5: Solve for x
    x = 187,481.97/412.99
  6. Step 6: Final answer
    x = 453.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.