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Finding the Fourth Proportional to 539.24, 811.97 and 395.96

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Solution

The fourth proportional to 539.24, 811.97 and 395.96 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 811.97 = 395.96 : x
  2. Step 2: Convert to fraction form
    539.24/811.97 = 395.96/x
  3. Step 3: Cross multiply
    539.24x = 811.97 × 395.96
  4. Step 4: Simplify right side
    539.24x = 321,507.64
  5. Step 5: Solve for x
    x = 321,507.64/539.24
  6. Step 6: Final answer
    x = 596.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.