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Finding the Fourth Proportional to 613.64, 919.55 and 516.44

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Solution

The fourth proportional to 613.64, 919.55 and 516.44 is: 773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 919.55 = 516.44 : x
  2. Step 2: Convert to fraction form
    613.64/919.55 = 516.44/x
  3. Step 3: Cross multiply
    613.64x = 919.55 × 516.44
  4. Step 4: Simplify right side
    613.64x = 474,895.99
  5. Step 5: Solve for x
    x = 474,895.99/613.64
  6. Step 6: Final answer
    x = 773.90

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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.