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Finding the Fourth Proportional to 418.73, 578.29 and 326.57

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Solution

The fourth proportional to 418.73, 578.29 and 326.57 is: 451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.73 : 578.29 = 326.57 : x
  2. Step 2: Convert to fraction form
    418.73/578.29 = 326.57/x
  3. Step 3: Cross multiply
    418.73x = 578.29 × 326.57
  4. Step 4: Simplify right side
    418.73x = 188,850.09
  5. Step 5: Solve for x
    x = 188,850.09/418.73
  6. Step 6: Final answer
    x = 451.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.