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Finding the Fourth Proportional to 449.20, 668.83 and 422.48

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Solution

The fourth proportional to 449.20, 668.83 and 422.48 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.20 : 668.83 = 422.48 : x
  2. Step 2: Convert to fraction form
    449.20/668.83 = 422.48/x
  3. Step 3: Cross multiply
    449.20x = 668.83 × 422.48
  4. Step 4: Simplify right side
    449.20x = 282,567.30
  5. Step 5: Solve for x
    x = 282,567.30/449.20
  6. Step 6: Final answer
    x = 629.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.