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Finding the Fourth Proportional to 813.62, 1,220.40 and 326.81

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Solution

The fourth proportional to 813.62, 1,220.40 and 326.81 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.62 : 1,220.40 = 326.81 : x
  2. Step 2: Convert to fraction form
    813.62/1,220.40 = 326.81/x
  3. Step 3: Cross multiply
    813.62x = 1,220.40 × 326.81
  4. Step 4: Simplify right side
    813.62x = 398,838.92
  5. Step 5: Solve for x
    x = 398,838.92/813.62
  6. Step 6: Final answer
    x = 490.20

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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.