Home / 1,198.08-1,795.05-580.95

Finding the Fourth Proportional to 1,198.08, 1,795.05 and 580.95

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Solution

The fourth proportional to 1,198.08, 1,795.05 and 580.95 is: 870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.08 : 1,795.05 = 580.95 : x
  2. Step 2: Convert to fraction form
    1,198.08/1,795.05 = 580.95/x
  3. Step 3: Cross multiply
    1,198.08x = 1,795.05 × 580.95
  4. Step 4: Simplify right side
    1,198.08x = 1,042,834.30
  5. Step 5: Solve for x
    x = 1,042,834.30/1,198.08
  6. Step 6: Final answer
    x = 870.42

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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.