Home / 1,180.69-1,629.30-787.66

Finding the Fourth Proportional to 1,180.69, 1,629.30 and 787.66

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Solution

The fourth proportional to 1,180.69, 1,629.30 and 787.66 is: 1,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.69 : 1,629.30 = 787.66 : x
  2. Step 2: Convert to fraction form
    1,180.69/1,629.30 = 787.66/x
  3. Step 3: Cross multiply
    1,180.69x = 1,629.30 × 787.66
  4. Step 4: Simplify right side
    1,180.69x = 1,283,334.44
  5. Step 5: Solve for x
    x = 1,283,334.44/1,180.69
  6. Step 6: Final answer
    x = 1,086.94

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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.