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Finding the Fourth Proportional to 539.72, 744.78 and 306.88

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Solution

The fourth proportional to 539.72, 744.78 and 306.88 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.72 : 744.78 = 306.88 : x
  2. Step 2: Convert to fraction form
    539.72/744.78 = 306.88/x
  3. Step 3: Cross multiply
    539.72x = 744.78 × 306.88
  4. Step 4: Simplify right side
    539.72x = 228,558.09
  5. Step 5: Solve for x
    x = 228,558.09/539.72
  6. Step 6: Final answer
    x = 423.48

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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.