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Finding the Fourth Proportional to 512.75, 769.13 and 170.75

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Solution

The fourth proportional to 512.75, 769.13 and 170.75 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 769.13 = 170.75 : x
  2. Step 2: Convert to fraction form
    512.75/769.13 = 170.75/x
  3. Step 3: Cross multiply
    512.75x = 769.13 × 170.75
  4. Step 4: Simplify right side
    512.75x = 131,328.09
  5. Step 5: Solve for x
    x = 131,328.09/512.75
  6. Step 6: Final answer
    x = 256.13

Related Problems

Find fourth proportional to 256.38, 384.56 and 85.38
Half scale
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Double scale
Find fourth proportional to 513.75, 770.63 and 171.75
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.