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Finding the Fourth Proportional to 813.55, 1,220.23 and 326.24

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Solution

The fourth proportional to 813.55, 1,220.23 and 326.24 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.55 : 1,220.23 = 326.24 : x
  2. Step 2: Convert to fraction form
    813.55/1,220.23 = 326.24/x
  3. Step 3: Cross multiply
    813.55x = 1,220.23 × 326.24
  4. Step 4: Simplify right side
    813.55x = 398,087.84
  5. Step 5: Solve for x
    x = 398,087.84/813.55
  6. Step 6: Final answer
    x = 489.32

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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.