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Finding the Fourth Proportional to 579.22, 868.79 and 232.46

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Solution

The fourth proportional to 579.22, 868.79 and 232.46 is: 348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.22 : 868.79 = 232.46 : x
  2. Step 2: Convert to fraction form
    579.22/868.79 = 232.46/x
  3. Step 3: Cross multiply
    579.22x = 868.79 × 232.46
  4. Step 4: Simplify right side
    579.22x = 201,953.42
  5. Step 5: Solve for x
    x = 201,953.42/579.22
  6. Step 6: Final answer
    x = 348.66

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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.