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Finding the Fourth Proportional to 812.71, 1,219.47 and 326.10

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Solution

The fourth proportional to 812.71, 1,219.47 and 326.10 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.71 : 1,219.47 = 326.10 : x
  2. Step 2: Convert to fraction form
    812.71/1,219.47 = 326.10/x
  3. Step 3: Cross multiply
    812.71x = 1,219.47 × 326.10
  4. Step 4: Simplify right side
    812.71x = 397,669.17
  5. Step 5: Solve for x
    x = 397,669.17/812.71
  6. Step 6: Final answer
    x = 489.31

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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.