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Finding the Fourth Proportional to 1,327.91, 1,990.35 and 633.59

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Solution

The fourth proportional to 1,327.91, 1,990.35 and 633.59 is: 949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.91 : 1,990.35 = 633.59 : x
  2. Step 2: Convert to fraction form
    1,327.91/1,990.35 = 633.59/x
  3. Step 3: Cross multiply
    1,327.91x = 1,990.35 × 633.59
  4. Step 4: Simplify right side
    1,327.91x = 1,261,065.86
  5. Step 5: Solve for x
    x = 1,261,065.86/1,327.91
  6. Step 6: Final answer
    x = 949.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.