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Finding the Fourth Proportional to 1,199.86, 1,799.79 and 686.50

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Solution

The fourth proportional to 1,199.86, 1,799.79 and 686.50 is: 1,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.86 : 1,799.79 = 686.50 : x
  2. Step 2: Convert to fraction form
    1,199.86/1,799.79 = 686.50/x
  3. Step 3: Cross multiply
    1,199.86x = 1,799.79 × 686.50
  4. Step 4: Simplify right side
    1,199.86x = 1,235,555.84
  5. Step 5: Solve for x
    x = 1,235,555.84/1,199.86
  6. Step 6: Final answer
    x = 1,029.75

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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.