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Finding the Fourth Proportional to 512.46, 766.62 and 349.65

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Solution

The fourth proportional to 512.46, 766.62 and 349.65 is: 523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 766.62 = 349.65 : x
  2. Step 2: Convert to fraction form
    512.46/766.62 = 349.65/x
  3. Step 3: Cross multiply
    512.46x = 766.62 × 349.65
  4. Step 4: Simplify right side
    512.46x = 268,048.68
  5. Step 5: Solve for x
    x = 268,048.68/512.46
  6. Step 6: Final answer
    x = 523.06

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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.