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Finding the Fourth Proportional to 418.09, 625.60 and 325.83

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Solution

The fourth proportional to 418.09, 625.60 and 325.83 is: 487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.09 : 625.60 = 325.83 : x
  2. Step 2: Convert to fraction form
    418.09/625.60 = 325.83/x
  3. Step 3: Cross multiply
    418.09x = 625.60 × 325.83
  4. Step 4: Simplify right side
    418.09x = 203,839.04
  5. Step 5: Solve for x
    x = 203,839.04/418.09
  6. Step 6: Final answer
    x = 487.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.