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Finding the Fourth Proportional to 1,913.91, 2,869.65 and 680.09

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Solution

The fourth proportional to 1,913.91, 2,869.65 and 680.09 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.91 : 2,869.65 = 680.09 : x
  2. Step 2: Convert to fraction form
    1,913.91/2,869.65 = 680.09/x
  3. Step 3: Cross multiply
    1,913.91x = 2,869.65 × 680.09
  4. Step 4: Simplify right side
    1,913.91x = 1,951,605.92
  5. Step 5: Solve for x
    x = 1,951,605.92/1,913.91
  6. Step 6: Final answer
    x = 1,019.70

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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.