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Finding the Fourth Proportional to 538.82, 744.08 and 518.76

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Solution

The fourth proportional to 538.82, 744.08 and 518.76 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 744.08 = 518.76 : x
  2. Step 2: Convert to fraction form
    538.82/744.08 = 518.76/x
  3. Step 3: Cross multiply
    538.82x = 744.08 × 518.76
  4. Step 4: Simplify right side
    538.82x = 385,998.94
  5. Step 5: Solve for x
    x = 385,998.94/538.82
  6. Step 6: Final answer
    x = 716.38

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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.