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Finding the Fourth Proportional to 523.57, 727.37 and 518.82

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Solution

The fourth proportional to 523.57, 727.37 and 518.82 is: 720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.57 : 727.37 = 518.82 : x
  2. Step 2: Convert to fraction form
    523.57/727.37 = 518.82/x
  3. Step 3: Cross multiply
    523.57x = 727.37 × 518.82
  4. Step 4: Simplify right side
    523.57x = 377,370.47
  5. Step 5: Solve for x
    x = 377,370.47/523.57
  6. Step 6: Final answer
    x = 720.76

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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.