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Finding the Fourth Proportional to 539.22, 744 and 318.09

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Solution

The fourth proportional to 539.22, 744 and 318.09 is: 438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 744 = 318.09 : x
  2. Step 2: Convert to fraction form
    539.22/744 = 318.09/x
  3. Step 3: Cross multiply
    539.22x = 744 × 318.09
  4. Step 4: Simplify right side
    539.22x = 236,658.96
  5. Step 5: Solve for x
    x = 236,658.96/539.22
  6. Step 6: Final answer
    x = 438.89

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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.