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Finding the Fourth Proportional to 504, 755.07 and 272.55

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Solution

The fourth proportional to 504, 755.07 and 272.55 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 755.07 = 272.55 : x
  2. Step 2: Convert to fraction form
    504/755.07 = 272.55/x
  3. Step 3: Cross multiply
    504x = 755.07 × 272.55
  4. Step 4: Simplify right side
    504x = 205,794.33
  5. Step 5: Solve for x
    x = 205,794.33/504
  6. Step 6: Final answer
    x = 408.32

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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.