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Finding the Fourth Proportional to 517.72, 776.54 and 171.07

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Solution

The fourth proportional to 517.72, 776.54 and 171.07 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 776.54 = 171.07 : x
  2. Step 2: Convert to fraction form
    517.72/776.54 = 171.07/x
  3. Step 3: Cross multiply
    517.72x = 776.54 × 171.07
  4. Step 4: Simplify right side
    517.72x = 132,842.70
  5. Step 5: Solve for x
    x = 132,842.70/517.72
  6. Step 6: Final answer
    x = 256.59

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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.