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Finding the Fourth Proportional to 1,199.14, 1,799.92 and 852.86

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Solution

The fourth proportional to 1,199.14, 1,799.92 and 852.86 is: 1,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.14 : 1,799.92 = 852.86 : x
  2. Step 2: Convert to fraction form
    1,199.14/1,799.92 = 852.86/x
  3. Step 3: Cross multiply
    1,199.14x = 1,799.92 × 852.86
  4. Step 4: Simplify right side
    1,199.14x = 1,535,079.77
  5. Step 5: Solve for x
    x = 1,535,079.77/1,199.14
  6. Step 6: Final answer
    x = 1,280.15

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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.