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Finding the Fourth Proportional to 511.65, 767.46 and 408.78

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Solution

The fourth proportional to 511.65, 767.46 and 408.78 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 767.46 = 408.78 : x
  2. Step 2: Convert to fraction form
    511.65/767.46 = 408.78/x
  3. Step 3: Cross multiply
    511.65x = 767.46 × 408.78
  4. Step 4: Simplify right side
    511.65x = 313,722.30
  5. Step 5: Solve for x
    x = 313,722.30/511.65
  6. Step 6: Final answer
    x = 613.16

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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.