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Finding the Fourth Proportional to 1,327.66, 1,990.81 and 668.83

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Solution

The fourth proportional to 1,327.66, 1,990.81 and 668.83 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.66 : 1,990.81 = 668.83 : x
  2. Step 2: Convert to fraction form
    1,327.66/1,990.81 = 668.83/x
  3. Step 3: Cross multiply
    1,327.66x = 1,990.81 × 668.83
  4. Step 4: Simplify right side
    1,327.66x = 1,331,513.45
  5. Step 5: Solve for x
    x = 1,331,513.45/1,327.66
  6. Step 6: Final answer
    x = 1,002.90

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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.