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Finding the Fourth Proportional to 1,119.92, 1,546.26 and 857.48

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Solution

The fourth proportional to 1,119.92, 1,546.26 and 857.48 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.92 : 1,546.26 = 857.48 : x
  2. Step 2: Convert to fraction form
    1,119.92/1,546.26 = 857.48/x
  3. Step 3: Cross multiply
    1,119.92x = 1,546.26 × 857.48
  4. Step 4: Simplify right side
    1,119.92x = 1,325,887.02
  5. Step 5: Solve for x
    x = 1,325,887.02/1,119.92
  6. Step 6: Final answer
    x = 1,183.91

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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.