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Finding the Fourth Proportional to 1,793.27, 2,689.67 and 494.84

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Solution

The fourth proportional to 1,793.27, 2,689.67 and 494.84 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.27 : 2,689.67 = 494.84 : x
  2. Step 2: Convert to fraction form
    1,793.27/2,689.67 = 494.84/x
  3. Step 3: Cross multiply
    1,793.27x = 2,689.67 × 494.84
  4. Step 4: Simplify right side
    1,793.27x = 1,330,940.38
  5. Step 5: Solve for x
    x = 1,330,940.38/1,793.27
  6. Step 6: Final answer
    x = 742.19

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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.