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Finding the Fourth Proportional to 439.73, 658.79 and 419.75

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Solution

The fourth proportional to 439.73, 658.79 and 419.75 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.73 : 658.79 = 419.75 : x
  2. Step 2: Convert to fraction form
    439.73/658.79 = 419.75/x
  3. Step 3: Cross multiply
    439.73x = 658.79 × 419.75
  4. Step 4: Simplify right side
    439.73x = 276,525.00
  5. Step 5: Solve for x
    x = 276,525.00/439.73
  6. Step 6: Final answer
    x = 628.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.