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Finding the Fourth Proportional to 550.14, 758.19 and 534.34

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Solution

The fourth proportional to 550.14, 758.19 and 534.34 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.14 : 758.19 = 534.34 : x
  2. Step 2: Convert to fraction form
    550.14/758.19 = 534.34/x
  3. Step 3: Cross multiply
    550.14x = 758.19 × 534.34
  4. Step 4: Simplify right side
    550.14x = 405,131.24
  5. Step 5: Solve for x
    x = 405,131.24/550.14
  6. Step 6: Final answer
    x = 736.41

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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.