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Finding the Fourth Proportional to 991.41, 1,486.97 and 333.29

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Solution

The fourth proportional to 991.41, 1,486.97 and 333.29 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.41 : 1,486.97 = 333.29 : x
  2. Step 2: Convert to fraction form
    991.41/1,486.97 = 333.29/x
  3. Step 3: Cross multiply
    991.41x = 1,486.97 × 333.29
  4. Step 4: Simplify right side
    991.41x = 495,583.13
  5. Step 5: Solve for x
    x = 495,583.13/991.41
  6. Step 6: Final answer
    x = 499.88

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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.