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Finding the Fourth Proportional to 579.42, 868.41 and 270.87

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Solution

The fourth proportional to 579.42, 868.41 and 270.87 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 868.41 = 270.87 : x
  2. Step 2: Convert to fraction form
    579.42/868.41 = 270.87/x
  3. Step 3: Cross multiply
    579.42x = 868.41 × 270.87
  4. Step 4: Simplify right side
    579.42x = 235,226.22
  5. Step 5: Solve for x
    x = 235,226.22/579.42
  6. Step 6: Final answer
    x = 405.97

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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.