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Finding the Fourth Proportional to 517.35, 776.18 and 170.78

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Solution

The fourth proportional to 517.35, 776.18 and 170.78 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 776.18 = 170.78 : x
  2. Step 2: Convert to fraction form
    517.35/776.18 = 170.78/x
  3. Step 3: Cross multiply
    517.35x = 776.18 × 170.78
  4. Step 4: Simplify right side
    517.35x = 132,552.57
  5. Step 5: Solve for x
    x = 132,552.57/517.35
  6. Step 6: Final answer
    x = 256.21

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Similar ratio
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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.