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Finding the Fourth Proportional to 539.41, 744.19 and 399.82

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Solution

The fourth proportional to 539.41, 744.19 and 399.82 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.41 : 744.19 = 399.82 : x
  2. Step 2: Convert to fraction form
    539.41/744.19 = 399.82/x
  3. Step 3: Cross multiply
    539.41x = 744.19 × 399.82
  4. Step 4: Simplify right side
    539.41x = 297,542.05
  5. Step 5: Solve for x
    x = 297,542.05/539.41
  6. Step 6: Final answer
    x = 551.61

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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.