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Finding the Fourth Proportional to 414.19, 621.69 and 412.27

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Solution

The fourth proportional to 414.19, 621.69 and 412.27 is: 618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.19 : 621.69 = 412.27 : x
  2. Step 2: Convert to fraction form
    414.19/621.69 = 412.27/x
  3. Step 3: Cross multiply
    414.19x = 621.69 × 412.27
  4. Step 4: Simplify right side
    414.19x = 256,301.03
  5. Step 5: Solve for x
    x = 256,301.03/414.19
  6. Step 6: Final answer
    x = 618.80

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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.