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Finding the Fourth Proportional to 511.63, 765.81 and 338.44

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Solution

The fourth proportional to 511.63, 765.81 and 338.44 is: 506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 765.81 = 338.44 : x
  2. Step 2: Convert to fraction form
    511.63/765.81 = 338.44/x
  3. Step 3: Cross multiply
    511.63x = 765.81 × 338.44
  4. Step 4: Simplify right side
    511.63x = 259,180.74
  5. Step 5: Solve for x
    x = 259,180.74/511.63
  6. Step 6: Final answer
    x = 506.58

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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.