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Finding the Fourth Proportional to 641.10, 962.14 and 333.22

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Solution

The fourth proportional to 641.10, 962.14 and 333.22 is: 500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.10 : 962.14 = 333.22 : x
  2. Step 2: Convert to fraction form
    641.10/962.14 = 333.22/x
  3. Step 3: Cross multiply
    641.10x = 962.14 × 333.22
  4. Step 4: Simplify right side
    641.10x = 320,604.29
  5. Step 5: Solve for x
    x = 320,604.29/641.10
  6. Step 6: Final answer
    x = 500.08

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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.