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Finding the Fourth Proportional to 517.48, 776.38 and 170.82

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Solution

The fourth proportional to 517.48, 776.38 and 170.82 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 776.38 = 170.82 : x
  2. Step 2: Convert to fraction form
    517.48/776.38 = 170.82/x
  3. Step 3: Cross multiply
    517.48x = 776.38 × 170.82
  4. Step 4: Simplify right side
    517.48x = 132,621.23
  5. Step 5: Solve for x
    x = 132,621.23/517.48
  6. Step 6: Final answer
    x = 256.28

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Double scale
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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.