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Finding the Fourth Proportional to 539.13, 744 and 306.25

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Solution

The fourth proportional to 539.13, 744 and 306.25 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.13 : 744 = 306.25 : x
  2. Step 2: Convert to fraction form
    539.13/744 = 306.25/x
  3. Step 3: Cross multiply
    539.13x = 744 × 306.25
  4. Step 4: Simplify right side
    539.13x = 227,850
  5. Step 5: Solve for x
    x = 227,850/539.13
  6. Step 6: Final answer
    x = 422.63

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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.