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Finding the Fourth Proportional to 512.19, 705.92 and 380.97

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Solution

The fourth proportional to 512.19, 705.92 and 380.97 is: 525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 705.92 = 380.97 : x
  2. Step 2: Convert to fraction form
    512.19/705.92 = 380.97/x
  3. Step 3: Cross multiply
    512.19x = 705.92 × 380.97
  4. Step 4: Simplify right side
    512.19x = 268,932.44
  5. Step 5: Solve for x
    x = 268,932.44/512.19
  6. Step 6: Final answer
    x = 525.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.