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Finding the Fourth Proportional to 1,195.88, 1,785.40 and 1,022.60

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Solution

The fourth proportional to 1,195.88, 1,785.40 and 1,022.60 is: 1,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.88 : 1,785.40 = 1,022.60 : x
  2. Step 2: Convert to fraction form
    1,195.88/1,785.40 = 1,022.60/x
  3. Step 3: Cross multiply
    1,195.88x = 1,785.40 × 1,022.60
  4. Step 4: Simplify right side
    1,195.88x = 1,825,751.95
  5. Step 5: Solve for x
    x = 1,825,751.95/1,195.88
  6. Step 6: Final answer
    x = 1,526.71

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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.