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Finding the Fourth Proportional to 512.24, 768.32 and 295.68

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Solution

The fourth proportional to 512.24, 768.32 and 295.68 is: 443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 768.32 = 295.68 : x
  2. Step 2: Convert to fraction form
    512.24/768.32 = 295.68/x
  3. Step 3: Cross multiply
    512.24x = 768.32 × 295.68
  4. Step 4: Simplify right side
    512.24x = 227,176.86
  5. Step 5: Solve for x
    x = 227,176.86/512.24
  6. Step 6: Final answer
    x = 443.50

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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.