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Finding the Fourth Proportional to 512.54, 768.73 and 170.54

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Solution

The fourth proportional to 512.54, 768.73 and 170.54 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 768.73 = 170.54 : x
  2. Step 2: Convert to fraction form
    512.54/768.73 = 170.54/x
  3. Step 3: Cross multiply
    512.54x = 768.73 × 170.54
  4. Step 4: Simplify right side
    512.54x = 131,099.21
  5. Step 5: Solve for x
    x = 131,099.21/512.54
  6. Step 6: Final answer
    x = 255.78

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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.