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Finding the Fourth Proportional to 538.87, 743.93 and 329.09

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Solution

The fourth proportional to 538.87, 743.93 and 329.09 is: 454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.87 : 743.93 = 329.09 : x
  2. Step 2: Convert to fraction form
    538.87/743.93 = 329.09/x
  3. Step 3: Cross multiply
    538.87x = 743.93 × 329.09
  4. Step 4: Simplify right side
    538.87x = 244,822.61
  5. Step 5: Solve for x
    x = 244,822.61/538.87
  6. Step 6: Final answer
    x = 454.33

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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.