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Finding the Fourth Proportional to 662.61, 993.78 and 419.61

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Solution

The fourth proportional to 662.61, 993.78 and 419.61 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.61 : 993.78 = 419.61 : x
  2. Step 2: Convert to fraction form
    662.61/993.78 = 419.61/x
  3. Step 3: Cross multiply
    662.61x = 993.78 × 419.61
  4. Step 4: Simplify right side
    662.61x = 417,000.03
  5. Step 5: Solve for x
    x = 417,000.03/662.61
  6. Step 6: Final answer
    x = 629.33

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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.