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Finding the Fourth Proportional to 414.12, 613.42 and 409.51

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Solution

The fourth proportional to 414.12, 613.42 and 409.51 is: 606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 613.42 = 409.51 : x
  2. Step 2: Convert to fraction form
    414.12/613.42 = 409.51/x
  3. Step 3: Cross multiply
    414.12x = 613.42 × 409.51
  4. Step 4: Simplify right side
    414.12x = 251,198.56
  5. Step 5: Solve for x
    x = 251,198.56/414.12
  6. Step 6: Final answer
    x = 606.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.