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Finding the Fourth Proportional to 511.08, 769.41 and 349.79

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Solution

The fourth proportional to 511.08, 769.41 and 349.79 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 769.41 = 349.79 : x
  2. Step 2: Convert to fraction form
    511.08/769.41 = 349.79/x
  3. Step 3: Cross multiply
    511.08x = 769.41 × 349.79
  4. Step 4: Simplify right side
    511.08x = 269,128.08
  5. Step 5: Solve for x
    x = 269,128.08/511.08
  6. Step 6: Final answer
    x = 526.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.