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Finding the Fourth Proportional to 578.99, 868.67 and 213.83

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Solution

The fourth proportional to 578.99, 868.67 and 213.83 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.99 : 868.67 = 213.83 : x
  2. Step 2: Convert to fraction form
    578.99/868.67 = 213.83/x
  3. Step 3: Cross multiply
    578.99x = 868.67 × 213.83
  4. Step 4: Simplify right side
    578.99x = 185,742.29
  5. Step 5: Solve for x
    x = 185,742.29/578.99
  6. Step 6: Final answer
    x = 320.81

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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.