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Finding the Fourth Proportional to 662.65, 993.97 and 419.24

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Solution

The fourth proportional to 662.65, 993.97 and 419.24 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.65 : 993.97 = 419.24 : x
  2. Step 2: Convert to fraction form
    662.65/993.97 = 419.24/x
  3. Step 3: Cross multiply
    662.65x = 993.97 × 419.24
  4. Step 4: Simplify right side
    662.65x = 416,711.98
  5. Step 5: Solve for x
    x = 416,711.98/662.65
  6. Step 6: Final answer
    x = 628.86

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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.