Home / 1,160.26-1,601.20-694.78

Finding the Fourth Proportional to 1,160.26, 1,601.20 and 694.78

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Solution

The fourth proportional to 1,160.26, 1,601.20 and 694.78 is: 958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.26 : 1,601.20 = 694.78 : x
  2. Step 2: Convert to fraction form
    1,160.26/1,601.20 = 694.78/x
  3. Step 3: Cross multiply
    1,160.26x = 1,601.20 × 694.78
  4. Step 4: Simplify right side
    1,160.26x = 1,112,481.74
  5. Step 5: Solve for x
    x = 1,112,481.74/1,160.26
  6. Step 6: Final answer
    x = 958.82

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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.