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Finding the Fourth Proportional to 613.71, 919.53 and 516.87

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Solution

The fourth proportional to 613.71, 919.53 and 516.87 is: 774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 919.53 = 516.87 : x
  2. Step 2: Convert to fraction form
    613.71/919.53 = 516.87/x
  3. Step 3: Cross multiply
    613.71x = 919.53 × 516.87
  4. Step 4: Simplify right side
    613.71x = 475,277.47
  5. Step 5: Solve for x
    x = 475,277.47/613.71
  6. Step 6: Final answer
    x = 774.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.