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Finding the Fourth Proportional to 559.97, 772.67 and 327.05

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Solution

The fourth proportional to 559.97, 772.67 and 327.05 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.97 : 772.67 = 327.05 : x
  2. Step 2: Convert to fraction form
    559.97/772.67 = 327.05/x
  3. Step 3: Cross multiply
    559.97x = 772.67 × 327.05
  4. Step 4: Simplify right side
    559.97x = 252,698.68
  5. Step 5: Solve for x
    x = 252,698.68/559.97
  6. Step 6: Final answer
    x = 451.28

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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.