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Finding the Fourth Proportional to 517.97, 776.99 and 171.29

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Solution

The fourth proportional to 517.97, 776.99 and 171.29 is: 256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 776.99 = 171.29 : x
  2. Step 2: Convert to fraction form
    517.97/776.99 = 171.29/x
  3. Step 3: Cross multiply
    517.97x = 776.99 × 171.29
  4. Step 4: Simplify right side
    517.97x = 133,092.99
  5. Step 5: Solve for x
    x = 133,092.99/517.97
  6. Step 6: Final answer
    x = 256.95

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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.