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Finding the Fourth Proportional to 412.69, 568.86 and 329.66

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Solution

The fourth proportional to 412.69, 568.86 and 329.66 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 568.86 = 329.66 : x
  2. Step 2: Convert to fraction form
    412.69/568.86 = 329.66/x
  3. Step 3: Cross multiply
    412.69x = 568.86 × 329.66
  4. Step 4: Simplify right side
    412.69x = 187,528.74
  5. Step 5: Solve for x
    x = 187,528.74/412.69
  6. Step 6: Final answer
    x = 454.41

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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.