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Finding the Fourth Proportional to 504.23, 755.86 and 272.78

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Solution

The fourth proportional to 504.23, 755.86 and 272.78 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 755.86 = 272.78 : x
  2. Step 2: Convert to fraction form
    504.23/755.86 = 272.78/x
  3. Step 3: Cross multiply
    504.23x = 755.86 × 272.78
  4. Step 4: Simplify right side
    504.23x = 206,183.49
  5. Step 5: Solve for x
    x = 206,183.49/504.23
  6. Step 6: Final answer
    x = 408.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.