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Finding the Fourth Proportional to 538.38, 743.94 and 433.26

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Solution

The fourth proportional to 538.38, 743.94 and 433.26 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 743.94 = 433.26 : x
  2. Step 2: Convert to fraction form
    538.38/743.94 = 433.26/x
  3. Step 3: Cross multiply
    538.38x = 743.94 × 433.26
  4. Step 4: Simplify right side
    538.38x = 322,319.44
  5. Step 5: Solve for x
    x = 322,319.44/538.38
  6. Step 6: Final answer
    x = 598.68

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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.