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Finding the Fourth Proportional to 452.72, 674.54 and 404.22

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Solution

The fourth proportional to 452.72, 674.54 and 404.22 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.72 : 674.54 = 404.22 : x
  2. Step 2: Convert to fraction form
    452.72/674.54 = 404.22/x
  3. Step 3: Cross multiply
    452.72x = 674.54 × 404.22
  4. Step 4: Simplify right side
    452.72x = 272,662.56
  5. Step 5: Solve for x
    x = 272,662.56/452.72
  6. Step 6: Final answer
    x = 602.28

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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.