Home / 1,177.41-1,766.79-484.19

Finding the Fourth Proportional to 1,177.41, 1,766.79 and 484.19

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Solution

The fourth proportional to 1,177.41, 1,766.79 and 484.19 is: 726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.41 : 1,766.79 = 484.19 : x
  2. Step 2: Convert to fraction form
    1,177.41/1,766.79 = 484.19/x
  3. Step 3: Cross multiply
    1,177.41x = 1,766.79 × 484.19
  4. Step 4: Simplify right side
    1,177.41x = 855,453.22
  5. Step 5: Solve for x
    x = 855,453.22/1,177.41
  6. Step 6: Final answer
    x = 726.56

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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.