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Finding the Fourth Proportional to 1,327.52, 1,990.81 and 633.62

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Solution

The fourth proportional to 1,327.52, 1,990.81 and 633.62 is: 950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.52 : 1,990.81 = 633.62 : x
  2. Step 2: Convert to fraction form
    1,327.52/1,990.81 = 633.62/x
  3. Step 3: Cross multiply
    1,327.52x = 1,990.81 × 633.62
  4. Step 4: Simplify right side
    1,327.52x = 1,261,422.80
  5. Step 5: Solve for x
    x = 1,261,422.80/1,327.52
  6. Step 6: Final answer
    x = 950.21

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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.