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Finding the Fourth Proportional to 539.78, 744.87 and 306.98

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Solution

The fourth proportional to 539.78, 744.87 and 306.98 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 744.87 = 306.98 : x
  2. Step 2: Convert to fraction form
    539.78/744.87 = 306.98/x
  3. Step 3: Cross multiply
    539.78x = 744.87 × 306.98
  4. Step 4: Simplify right side
    539.78x = 228,660.19
  5. Step 5: Solve for x
    x = 228,660.19/539.78
  6. Step 6: Final answer
    x = 423.62

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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.