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Finding the Fourth Proportional to 538.11, 744.53 and 517.95

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Solution

The fourth proportional to 538.11, 744.53 and 517.95 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 744.53 = 517.95 : x
  2. Step 2: Convert to fraction form
    538.11/744.53 = 517.95/x
  3. Step 3: Cross multiply
    538.11x = 744.53 × 517.95
  4. Step 4: Simplify right side
    538.11x = 385,626.72
  5. Step 5: Solve for x
    x = 385,626.72/538.11
  6. Step 6: Final answer
    x = 716.63

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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.