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Finding the Fourth Proportional to 453.01, 674.72 and 450.80

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Solution

The fourth proportional to 453.01, 674.72 and 450.80 is: 671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.01 : 674.72 = 450.80 : x
  2. Step 2: Convert to fraction form
    453.01/674.72 = 450.80/x
  3. Step 3: Cross multiply
    453.01x = 674.72 × 450.80
  4. Step 4: Simplify right side
    453.01x = 304,163.78
  5. Step 5: Solve for x
    x = 304,163.78/453.01
  6. Step 6: Final answer
    x = 671.43

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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.