Home / 1,004.11-1,383.19-857.23

Finding the Fourth Proportional to 1,004.11, 1,383.19 and 857.23

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Solution

The fourth proportional to 1,004.11, 1,383.19 and 857.23 is: 1,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.11 : 1,383.19 = 857.23 : x
  2. Step 2: Convert to fraction form
    1,004.11/1,383.19 = 857.23/x
  3. Step 3: Cross multiply
    1,004.11x = 1,383.19 × 857.23
  4. Step 4: Simplify right side
    1,004.11x = 1,185,711.96
  5. Step 5: Solve for x
    x = 1,185,711.96/1,004.11
  6. Step 6: Final answer
    x = 1,180.86

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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.