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Finding the Fourth Proportional to 1,198.63, 1,653.78 and 756.37

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Solution

The fourth proportional to 1,198.63, 1,653.78 and 756.37 is: 1,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.63 : 1,653.78 = 756.37 : x
  2. Step 2: Convert to fraction form
    1,198.63/1,653.78 = 756.37/x
  3. Step 3: Cross multiply
    1,198.63x = 1,653.78 × 756.37
  4. Step 4: Simplify right side
    1,198.63x = 1,250,869.58
  5. Step 5: Solve for x
    x = 1,250,869.58/1,198.63
  6. Step 6: Final answer
    x = 1,043.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.