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Finding the Fourth Proportional to 576.56, 796.30 and 540.38

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Solution

The fourth proportional to 576.56, 796.30 and 540.38 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 796.30 = 540.38 : x
  2. Step 2: Convert to fraction form
    576.56/796.30 = 540.38/x
  3. Step 3: Cross multiply
    576.56x = 796.30 × 540.38
  4. Step 4: Simplify right side
    576.56x = 430,304.59
  5. Step 5: Solve for x
    x = 430,304.59/576.56
  6. Step 6: Final answer
    x = 746.33

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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.