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Finding the Fourth Proportional to 1,199.57, 1,799.61 and 679.81

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Solution

The fourth proportional to 1,199.57, 1,799.61 and 679.81 is: 1,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.57 : 1,799.61 = 679.81 : x
  2. Step 2: Convert to fraction form
    1,199.57/1,799.61 = 679.81/x
  3. Step 3: Cross multiply
    1,199.57x = 1,799.61 × 679.81
  4. Step 4: Simplify right side
    1,199.57x = 1,223,392.87
  5. Step 5: Solve for x
    x = 1,223,392.87/1,199.57
  6. Step 6: Final answer
    x = 1,019.86

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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.