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Finding the Fourth Proportional to 414.82, 624.65 and 300.07

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Solution

The fourth proportional to 414.82, 624.65 and 300.07 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 624.65 = 300.07 : x
  2. Step 2: Convert to fraction form
    414.82/624.65 = 300.07/x
  3. Step 3: Cross multiply
    414.82x = 624.65 × 300.07
  4. Step 4: Simplify right side
    414.82x = 187,438.01
  5. Step 5: Solve for x
    x = 187,438.01/414.82
  6. Step 6: Final answer
    x = 451.85

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