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Finding the Fourth Proportional to 511.80, 768.55 and 346.09

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Solution

The fourth proportional to 511.80, 768.55 and 346.09 is: 519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 768.55 = 346.09 : x
  2. Step 2: Convert to fraction form
    511.80/768.55 = 346.09/x
  3. Step 3: Cross multiply
    511.80x = 768.55 × 346.09
  4. Step 4: Simplify right side
    511.80x = 265,987.47
  5. Step 5: Solve for x
    x = 265,987.47/511.80
  6. Step 6: Final answer
    x = 519.71

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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.