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Finding the Fourth Proportional to 453.42, 621.97 and 449.53

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Solution

The fourth proportional to 453.42, 621.97 and 449.53 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 621.97 = 449.53 : x
  2. Step 2: Convert to fraction form
    453.42/621.97 = 449.53/x
  3. Step 3: Cross multiply
    453.42x = 621.97 × 449.53
  4. Step 4: Simplify right side
    453.42x = 279,591.50
  5. Step 5: Solve for x
    x = 279,591.50/453.42
  6. Step 6: Final answer
    x = 616.63

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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.