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Finding the Fourth Proportional to 579.16, 868.40 and 396.76

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Solution

The fourth proportional to 579.16, 868.40 and 396.76 is: 594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.16 : 868.40 = 396.76 : x
  2. Step 2: Convert to fraction form
    579.16/868.40 = 396.76/x
  3. Step 3: Cross multiply
    579.16x = 868.40 × 396.76
  4. Step 4: Simplify right side
    579.16x = 344,546.38
  5. Step 5: Solve for x
    x = 344,546.38/579.16
  6. Step 6: Final answer
    x = 594.91

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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.