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Finding the Fourth Proportional to 513, 769.50 and 171

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Solution

The fourth proportional to 513, 769.50 and 171 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 769.50 = 171 : x
  2. Step 2: Convert to fraction form
    513/769.50 = 171/x
  3. Step 3: Cross multiply
    513x = 769.50 × 171
  4. Step 4: Simplify right side
    513x = 131,584.50
  5. Step 5: Solve for x
    x = 131,584.50/513
  6. Step 6: Final answer
    x = 256.50

Related Problems

Find fourth proportional to 256.50, 384.75 and 85.50
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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.