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Finding the Fourth Proportional to 453.51, 622.07 and 449.60

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Solution

The fourth proportional to 453.51, 622.07 and 449.60 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.51 : 622.07 = 449.60 : x
  2. Step 2: Convert to fraction form
    453.51/622.07 = 449.60/x
  3. Step 3: Cross multiply
    453.51x = 622.07 × 449.60
  4. Step 4: Simplify right side
    453.51x = 279,682.67
  5. Step 5: Solve for x
    x = 279,682.67/453.51
  6. Step 6: Final answer
    x = 616.71

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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.