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Finding the Fourth Proportional to 813.71, 1,220.97 and 327.10

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Solution

The fourth proportional to 813.71, 1,220.97 and 327.10 is: 490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.71 : 1,220.97 = 327.10 : x
  2. Step 2: Convert to fraction form
    813.71/1,220.97 = 327.10/x
  3. Step 3: Cross multiply
    813.71x = 1,220.97 × 327.10
  4. Step 4: Simplify right side
    813.71x = 399,379.29
  5. Step 5: Solve for x
    x = 399,379.29/813.71
  6. Step 6: Final answer
    x = 490.81

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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.