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Finding the Fourth Proportional to 613.36, 919.61 and 418.37

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Solution

The fourth proportional to 613.36, 919.61 and 418.37 is: 627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 919.61 = 418.37 : x
  2. Step 2: Convert to fraction form
    613.36/919.61 = 418.37/x
  3. Step 3: Cross multiply
    613.36x = 919.61 × 418.37
  4. Step 4: Simplify right side
    613.36x = 384,735.14
  5. Step 5: Solve for x
    x = 384,735.14/613.36
  6. Step 6: Final answer
    x = 627.26

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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.