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Finding the Fourth Proportional to 578.84, 868.78 and 270.87

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Solution

The fourth proportional to 578.84, 868.78 and 270.87 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 868.78 = 270.87 : x
  2. Step 2: Convert to fraction form
    578.84/868.78 = 270.87/x
  3. Step 3: Cross multiply
    578.84x = 868.78 × 270.87
  4. Step 4: Simplify right side
    578.84x = 235,326.44
  5. Step 5: Solve for x
    x = 235,326.44/578.84
  6. Step 6: Final answer
    x = 406.55

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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.