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Finding the Fourth Proportional to 641.95, 962.46 and 381.33

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Solution

The fourth proportional to 641.95, 962.46 and 381.33 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.95 : 962.46 = 381.33 : x
  2. Step 2: Convert to fraction form
    641.95/962.46 = 381.33/x
  3. Step 3: Cross multiply
    641.95x = 962.46 × 381.33
  4. Step 4: Simplify right side
    641.95x = 367,008.15
  5. Step 5: Solve for x
    x = 367,008.15/641.95
  6. Step 6: Final answer
    x = 571.71

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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.