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Finding the Fourth Proportional to 578.35, 867.80 and 270.55

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Solution

The fourth proportional to 578.35, 867.80 and 270.55 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.35 : 867.80 = 270.55 : x
  2. Step 2: Convert to fraction form
    578.35/867.80 = 270.55/x
  3. Step 3: Cross multiply
    578.35x = 867.80 × 270.55
  4. Step 4: Simplify right side
    578.35x = 234,783.29
  5. Step 5: Solve for x
    x = 234,783.29/578.35
  6. Step 6: Final answer
    x = 405.95

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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.