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Finding the Fourth Proportional to 513.19, 769.78 and 171.19

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Solution

The fourth proportional to 513.19, 769.78 and 171.19 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.19 : 769.78 = 171.19 : x
  2. Step 2: Convert to fraction form
    513.19/769.78 = 171.19/x
  3. Step 3: Cross multiply
    513.19x = 769.78 × 171.19
  4. Step 4: Simplify right side
    513.19x = 131,776.93
  5. Step 5: Solve for x
    x = 131,776.93/513.19
  6. Step 6: Final answer
    x = 256.78

Related Problems

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Half scale
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Double scale
Find fourth proportional to 514.19, 771.28 and 172.19
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.