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Finding the Fourth Proportional to 414.05, 624.78 and 397.19

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Solution

The fourth proportional to 414.05, 624.78 and 397.19 is: 599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 624.78 = 397.19 : x
  2. Step 2: Convert to fraction form
    414.05/624.78 = 397.19/x
  3. Step 3: Cross multiply
    414.05x = 624.78 × 397.19
  4. Step 4: Simplify right side
    414.05x = 248,157.93
  5. Step 5: Solve for x
    x = 248,157.93/414.05
  6. Step 6: Final answer
    x = 599.34

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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.