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Finding the Fourth Proportional to 578.92, 868.55 and 232.44

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Solution

The fourth proportional to 578.92, 868.55 and 232.44 is: 348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 868.55 = 232.44 : x
  2. Step 2: Convert to fraction form
    578.92/868.55 = 232.44/x
  3. Step 3: Cross multiply
    578.92x = 868.55 × 232.44
  4. Step 4: Simplify right side
    578.92x = 201,885.76
  5. Step 5: Solve for x
    x = 201,885.76/578.92
  6. Step 6: Final answer
    x = 348.73

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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.