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Finding the Fourth Proportional to 1,327.29, 1,990.95 and 402.81

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Solution

The fourth proportional to 1,327.29, 1,990.95 and 402.81 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.29 : 1,990.95 = 402.81 : x
  2. Step 2: Convert to fraction form
    1,327.29/1,990.95 = 402.81/x
  3. Step 3: Cross multiply
    1,327.29x = 1,990.95 × 402.81
  4. Step 4: Simplify right side
    1,327.29x = 801,965.59
  5. Step 5: Solve for x
    x = 801,965.59/1,327.29
  6. Step 6: Final answer
    x = 604.21

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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.