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Finding the Fourth Proportional to 579.53, 868.76 and 232.80

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Solution

The fourth proportional to 579.53, 868.76 and 232.80 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 868.76 = 232.80 : x
  2. Step 2: Convert to fraction form
    579.53/868.76 = 232.80/x
  3. Step 3: Cross multiply
    579.53x = 868.76 × 232.80
  4. Step 4: Simplify right side
    579.53x = 202,247.33
  5. Step 5: Solve for x
    x = 202,247.33/579.53
  6. Step 6: Final answer
    x = 348.99

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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.