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Finding the Fourth Proportional to 537.66, 736.61 and 518.22

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Solution

The fourth proportional to 537.66, 736.61 and 518.22 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 736.61 = 518.22 : x
  2. Step 2: Convert to fraction form
    537.66/736.61 = 518.22/x
  3. Step 3: Cross multiply
    537.66x = 736.61 × 518.22
  4. Step 4: Simplify right side
    537.66x = 381,723.44
  5. Step 5: Solve for x
    x = 381,723.44/537.66
  6. Step 6: Final answer
    x = 709.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.