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Finding the Fourth Proportional to 641.36, 961.25 and 333.05

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Solution

The fourth proportional to 641.36, 961.25 and 333.05 is: 499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.36 : 961.25 = 333.05 : x
  2. Step 2: Convert to fraction form
    641.36/961.25 = 333.05/x
  3. Step 3: Cross multiply
    641.36x = 961.25 × 333.05
  4. Step 4: Simplify right side
    641.36x = 320,137.84
  5. Step 5: Solve for x
    x = 320,137.84/641.36
  6. Step 6: Final answer
    x = 499.16

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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.