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Finding the Fourth Proportional to 579.28, 868.38 and 254.56

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Solution

The fourth proportional to 579.28, 868.38 and 254.56 is: 381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.28 : 868.38 = 254.56 : x
  2. Step 2: Convert to fraction form
    579.28/868.38 = 254.56/x
  3. Step 3: Cross multiply
    579.28x = 868.38 × 254.56
  4. Step 4: Simplify right side
    579.28x = 221,054.81
  5. Step 5: Solve for x
    x = 221,054.81/579.28
  6. Step 6: Final answer
    x = 381.60

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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.