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Finding the Fourth Proportional to 818.91, 1,229.73 and 683.03

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Solution

The fourth proportional to 818.91, 1,229.73 and 683.03 is: 1,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.91 : 1,229.73 = 683.03 : x
  2. Step 2: Convert to fraction form
    818.91/1,229.73 = 683.03/x
  3. Step 3: Cross multiply
    818.91x = 1,229.73 × 683.03
  4. Step 4: Simplify right side
    818.91x = 839,932.92
  5. Step 5: Solve for x
    x = 839,932.92/818.91
  6. Step 6: Final answer
    x = 1,025.68

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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.