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Finding the Fourth Proportional to 576.82, 796.43 and 540.37

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Solution

The fourth proportional to 576.82, 796.43 and 540.37 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 796.43 = 540.37 : x
  2. Step 2: Convert to fraction form
    576.82/796.43 = 540.37/x
  3. Step 3: Cross multiply
    576.82x = 796.43 × 540.37
  4. Step 4: Simplify right side
    576.82x = 430,369.23
  5. Step 5: Solve for x
    x = 430,369.23/576.82
  6. Step 6: Final answer
    x = 746.11

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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.