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Finding the Fourth Proportional to 608.68, 911.43 and 443.47

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Solution

The fourth proportional to 608.68, 911.43 and 443.47 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 911.43 = 443.47 : x
  2. Step 2: Convert to fraction form
    608.68/911.43 = 443.47/x
  3. Step 3: Cross multiply
    608.68x = 911.43 × 443.47
  4. Step 4: Simplify right side
    608.68x = 404,187.30
  5. Step 5: Solve for x
    x = 404,187.30/608.68
  6. Step 6: Final answer
    x = 664.04

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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.