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Finding the Fourth Proportional to 1,793.02, 2,689.80 and 869.62

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Solution

The fourth proportional to 1,793.02, 2,689.80 and 869.62 is: 1,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.02 : 2,689.80 = 869.62 : x
  2. Step 2: Convert to fraction form
    1,793.02/2,689.80 = 869.62/x
  3. Step 3: Cross multiply
    1,793.02x = 2,689.80 × 869.62
  4. Step 4: Simplify right side
    1,793.02x = 2,339,103.88
  5. Step 5: Solve for x
    x = 2,339,103.88/1,793.02
  6. Step 6: Final answer
    x = 1,304.56

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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.