Home / 1,193.38-1,789.41-412.94

Finding the Fourth Proportional to 1,193.38, 1,789.41 and 412.94

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Solution

The fourth proportional to 1,193.38, 1,789.41 and 412.94 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.38 : 1,789.41 = 412.94 : x
  2. Step 2: Convert to fraction form
    1,193.38/1,789.41 = 412.94/x
  3. Step 3: Cross multiply
    1,193.38x = 1,789.41 × 412.94
  4. Step 4: Simplify right side
    1,193.38x = 738,918.97
  5. Step 5: Solve for x
    x = 738,918.97/1,193.38
  6. Step 6: Final answer
    x = 619.18

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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.