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Finding the Fourth Proportional to 662.09, 993.74 and 419.09

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Solution

The fourth proportional to 662.09, 993.74 and 419.09 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.09 : 993.74 = 419.09 : x
  2. Step 2: Convert to fraction form
    662.09/993.74 = 419.09/x
  3. Step 3: Cross multiply
    662.09x = 993.74 × 419.09
  4. Step 4: Simplify right side
    662.09x = 416,459.43
  5. Step 5: Solve for x
    x = 416,459.43/662.09
  6. Step 6: Final answer
    x = 629.01

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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.