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Finding the Fourth Proportional to 550.26, 758.36 and 534.47

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Solution

The fourth proportional to 550.26, 758.36 and 534.47 is: 736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 758.36 = 534.47 : x
  2. Step 2: Convert to fraction form
    550.26/758.36 = 534.47/x
  3. Step 3: Cross multiply
    550.26x = 758.36 × 534.47
  4. Step 4: Simplify right side
    550.26x = 405,318.21
  5. Step 5: Solve for x
    x = 405,318.21/550.26
  6. Step 6: Final answer
    x = 736.59

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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.