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Finding the Fourth Proportional to 414.56, 625.54 and 397.70

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Solution

The fourth proportional to 414.56, 625.54 and 397.70 is: 600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 625.54 = 397.70 : x
  2. Step 2: Convert to fraction form
    414.56/625.54 = 397.70/x
  3. Step 3: Cross multiply
    414.56x = 625.54 × 397.70
  4. Step 4: Simplify right side
    414.56x = 248,772.14
  5. Step 5: Solve for x
    x = 248,772.14/414.56
  6. Step 6: Final answer
    x = 600.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.