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Finding the Fourth Proportional to 550.62, 755.34 and 536.82

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Solution

The fourth proportional to 550.62, 755.34 and 536.82 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 755.34 = 536.82 : x
  2. Step 2: Convert to fraction form
    550.62/755.34 = 536.82/x
  3. Step 3: Cross multiply
    550.62x = 755.34 × 536.82
  4. Step 4: Simplify right side
    550.62x = 405,481.62
  5. Step 5: Solve for x
    x = 405,481.62/550.62
  6. Step 6: Final answer
    x = 736.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.