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Finding the Fourth Proportional to 602.63, 902.22 and 449.27

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Solution

The fourth proportional to 602.63, 902.22 and 449.27 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 902.22 = 449.27 : x
  2. Step 2: Convert to fraction form
    602.63/902.22 = 449.27/x
  3. Step 3: Cross multiply
    602.63x = 902.22 × 449.27
  4. Step 4: Simplify right side
    602.63x = 405,340.38
  5. Step 5: Solve for x
    x = 405,340.38/602.63
  6. Step 6: Final answer
    x = 672.62

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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.