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Finding the Fourth Proportional to 467.31, 640.22 and 449.80

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Solution

The fourth proportional to 467.31, 640.22 and 449.80 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 640.22 = 449.80 : x
  2. Step 2: Convert to fraction form
    467.31/640.22 = 449.80/x
  3. Step 3: Cross multiply
    467.31x = 640.22 × 449.80
  4. Step 4: Simplify right side
    467.31x = 287,967.19
  5. Step 5: Solve for x
    x = 287,967.19/467.31
  6. Step 6: Final answer
    x = 616.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.