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Finding the Fourth Proportional to 513.05, 768.22 and 440.39

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Solution

The fourth proportional to 513.05, 768.22 and 440.39 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 768.22 = 440.39 : x
  2. Step 2: Convert to fraction form
    513.05/768.22 = 440.39/x
  3. Step 3: Cross multiply
    513.05x = 768.22 × 440.39
  4. Step 4: Simplify right side
    513.05x = 338,317.23
  5. Step 5: Solve for x
    x = 338,317.23/513.05
  6. Step 6: Final answer
    x = 659.43

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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.