Home / 1,205.21-1,662.49-1,180.70

Finding the Fourth Proportional to 1,205.21, 1,662.49 and 1,180.70

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Solution

The fourth proportional to 1,205.21, 1,662.49 and 1,180.70 is: 1,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.21 : 1,662.49 = 1,180.70 : x
  2. Step 2: Convert to fraction form
    1,205.21/1,662.49 = 1,180.70/x
  3. Step 3: Cross multiply
    1,205.21x = 1,662.49 × 1,180.70
  4. Step 4: Simplify right side
    1,205.21x = 1,962,901.94
  5. Step 5: Solve for x
    x = 1,962,901.94/1,205.21
  6. Step 6: Final answer
    x = 1,628.68

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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.