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Finding the Fourth Proportional to 511.80, 765.66 and 444.09

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Solution

The fourth proportional to 511.80, 765.66 and 444.09 is: 664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 765.66 = 444.09 : x
  2. Step 2: Convert to fraction form
    511.80/765.66 = 444.09/x
  3. Step 3: Cross multiply
    511.80x = 765.66 × 444.09
  4. Step 4: Simplify right side
    511.80x = 340,021.95
  5. Step 5: Solve for x
    x = 340,021.95/511.80
  6. Step 6: Final answer
    x = 664.36

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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.