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Finding the Fourth Proportional to 1,863.15, 2,793.03 and 709.71

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Solution

The fourth proportional to 1,863.15, 2,793.03 and 709.71 is: 1,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.15 : 2,793.03 = 709.71 : x
  2. Step 2: Convert to fraction form
    1,863.15/2,793.03 = 709.71/x
  3. Step 3: Cross multiply
    1,863.15x = 2,793.03 × 709.71
  4. Step 4: Simplify right side
    1,863.15x = 1,982,241.32
  5. Step 5: Solve for x
    x = 1,982,241.32/1,863.15
  6. Step 6: Final answer
    x = 1,063.92

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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.