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Finding the Fourth Proportional to 538.42, 746.80 and 516.55

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Solution

The fourth proportional to 538.42, 746.80 and 516.55 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.42 : 746.80 = 516.55 : x
  2. Step 2: Convert to fraction form
    538.42/746.80 = 516.55/x
  3. Step 3: Cross multiply
    538.42x = 746.80 × 516.55
  4. Step 4: Simplify right side
    538.42x = 385,759.54
  5. Step 5: Solve for x
    x = 385,759.54/538.42
  6. Step 6: Final answer
    x = 716.47

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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.