Home / 1,205.68-1,794.85-1,198.40

Finding the Fourth Proportional to 1,205.68, 1,794.85 and 1,198.40

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Solution

The fourth proportional to 1,205.68, 1,794.85 and 1,198.40 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.68 : 1,794.85 = 1,198.40 : x
  2. Step 2: Convert to fraction form
    1,205.68/1,794.85 = 1,198.40/x
  3. Step 3: Cross multiply
    1,205.68x = 1,794.85 × 1,198.40
  4. Step 4: Simplify right side
    1,205.68x = 2,150,948.24
  5. Step 5: Solve for x
    x = 2,150,948.24/1,205.68
  6. Step 6: Final answer
    x = 1,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.