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Finding the Fourth Proportional to 1,909.30, 2,863.61 and 659.90

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Solution

The fourth proportional to 1,909.30, 2,863.61 and 659.90 is: 989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.30 : 2,863.61 = 659.90 : x
  2. Step 2: Convert to fraction form
    1,909.30/2,863.61 = 659.90/x
  3. Step 3: Cross multiply
    1,909.30x = 2,863.61 × 659.90
  4. Step 4: Simplify right side
    1,909.30x = 1,889,680.27
  5. Step 5: Solve for x
    x = 1,889,680.27/1,909.30
  6. Step 6: Final answer
    x = 989.72

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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.