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Finding the Fourth Proportional to 414.68, 619.79 and 298.35

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Solution

The fourth proportional to 414.68, 619.79 and 298.35 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 619.79 = 298.35 : x
  2. Step 2: Convert to fraction form
    414.68/619.79 = 298.35/x
  3. Step 3: Cross multiply
    414.68x = 619.79 × 298.35
  4. Step 4: Simplify right side
    414.68x = 184,912.85
  5. Step 5: Solve for x
    x = 184,912.85/414.68
  6. Step 6: Final answer
    x = 445.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.