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Finding the Fourth Proportional to 517.75, 776.27 and 270.80

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Solution

The fourth proportional to 517.75, 776.27 and 270.80 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.75 : 776.27 = 270.80 : x
  2. Step 2: Convert to fraction form
    517.75/776.27 = 270.80/x
  3. Step 3: Cross multiply
    517.75x = 776.27 × 270.80
  4. Step 4: Simplify right side
    517.75x = 210,216.53
  5. Step 5: Solve for x
    x = 210,216.53/517.75
  6. Step 6: Final answer
    x = 406.02

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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.