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Finding the Fourth Proportional to 517.65, 776.64 and 170.97

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Solution

The fourth proportional to 517.65, 776.64 and 170.97 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 776.64 = 170.97 : x
  2. Step 2: Convert to fraction form
    517.65/776.64 = 170.97/x
  3. Step 3: Cross multiply
    517.65x = 776.64 × 170.97
  4. Step 4: Simplify right side
    517.65x = 132,782.14
  5. Step 5: Solve for x
    x = 132,782.14/517.65
  6. Step 6: Final answer
    x = 256.51

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Double scale
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Similar ratio
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1.5x scale

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.