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Finding the Fourth Proportional to 419.73, 578.25 and 326.13

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Solution

The fourth proportional to 419.73, 578.25 and 326.13 is: 449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 578.25 = 326.13 : x
  2. Step 2: Convert to fraction form
    419.73/578.25 = 326.13/x
  3. Step 3: Cross multiply
    419.73x = 578.25 × 326.13
  4. Step 4: Simplify right side
    419.73x = 188,584.67
  5. Step 5: Solve for x
    x = 188,584.67/419.73
  6. Step 6: Final answer
    x = 449.30

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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.