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Finding the Fourth Proportional to 452.08, 674.09 and 416.62

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Solution

The fourth proportional to 452.08, 674.09 and 416.62 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.08 : 674.09 = 416.62 : x
  2. Step 2: Convert to fraction form
    452.08/674.09 = 416.62/x
  3. Step 3: Cross multiply
    452.08x = 674.09 × 416.62
  4. Step 4: Simplify right side
    452.08x = 280,839.38
  5. Step 5: Solve for x
    x = 280,839.38/452.08
  6. Step 6: Final answer
    x = 621.22

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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.