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Finding the Fourth Proportional to 453.86, 622.56 and 449.97

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Solution

The fourth proportional to 453.86, 622.56 and 449.97 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.86 : 622.56 = 449.97 : x
  2. Step 2: Convert to fraction form
    453.86/622.56 = 449.97/x
  3. Step 3: Cross multiply
    453.86x = 622.56 × 449.97
  4. Step 4: Simplify right side
    453.86x = 280,133.32
  5. Step 5: Solve for x
    x = 280,133.32/453.86
  6. Step 6: Final answer
    x = 617.22

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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.