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Finding the Fourth Proportional to 414.62, 624.93 and 396.09

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Solution

The fourth proportional to 414.62, 624.93 and 396.09 is: 597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.62 : 624.93 = 396.09 : x
  2. Step 2: Convert to fraction form
    414.62/624.93 = 396.09/x
  3. Step 3: Cross multiply
    414.62x = 624.93 × 396.09
  4. Step 4: Simplify right side
    414.62x = 247,527.60
  5. Step 5: Solve for x
    x = 247,527.60/414.62
  6. Step 6: Final answer
    x = 597.00

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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.