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Finding the Fourth Proportional to 820.81, 1,229.59 and 496.81

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Solution

The fourth proportional to 820.81, 1,229.59 and 496.81 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,229.59 = 496.81 : x
  2. Step 2: Convert to fraction form
    820.81/1,229.59 = 496.81/x
  3. Step 3: Cross multiply
    820.81x = 1,229.59 × 496.81
  4. Step 4: Simplify right side
    820.81x = 610,863.98
  5. Step 5: Solve for x
    x = 610,863.98/820.81
  6. Step 6: Final answer
    x = 744.23

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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.