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Finding the Fourth Proportional to 574.13, 796.24 and 538.49

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Solution

The fourth proportional to 574.13, 796.24 and 538.49 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.13 : 796.24 = 538.49 : x
  2. Step 2: Convert to fraction form
    574.13/796.24 = 538.49/x
  3. Step 3: Cross multiply
    574.13x = 796.24 × 538.49
  4. Step 4: Simplify right side
    574.13x = 428,767.28
  5. Step 5: Solve for x
    x = 428,767.28/574.13
  6. Step 6: Final answer
    x = 746.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.