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Finding the Fourth Proportional to 513.13, 769.69 and 171.13

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Solution

The fourth proportional to 513.13, 769.69 and 171.13 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 769.69 = 171.13 : x
  2. Step 2: Convert to fraction form
    513.13/769.69 = 171.13/x
  3. Step 3: Cross multiply
    513.13x = 769.69 × 171.13
  4. Step 4: Simplify right side
    513.13x = 131,717.05
  5. Step 5: Solve for x
    x = 131,717.05/513.13
  6. Step 6: Final answer
    x = 256.69

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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.