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Finding the Fourth Proportional to 512, 764.34 and 443.20

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Solution

The fourth proportional to 512, 764.34 and 443.20 is: 661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 764.34 = 443.20 : x
  2. Step 2: Convert to fraction form
    512/764.34 = 443.20/x
  3. Step 3: Cross multiply
    512x = 764.34 × 443.20
  4. Step 4: Simplify right side
    512x = 338,755.49
  5. Step 5: Solve for x
    x = 338,755.49/512
  6. Step 6: Final answer
    x = 661.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.