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Finding the Fourth Proportional to 578.69, 868.05 and 213.24

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Solution

The fourth proportional to 578.69, 868.05 and 213.24 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 868.05 = 213.24 : x
  2. Step 2: Convert to fraction form
    578.69/868.05 = 213.24/x
  3. Step 3: Cross multiply
    578.69x = 868.05 × 213.24
  4. Step 4: Simplify right side
    578.69x = 185,102.98
  5. Step 5: Solve for x
    x = 185,102.98/578.69
  6. Step 6: Final answer
    x = 319.87

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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.