Home / 1,656.44-2,286.19-1,159.81

Finding the Fourth Proportional to 1,656.44, 2,286.19 and 1,159.81

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Solution

The fourth proportional to 1,656.44, 2,286.19 and 1,159.81 is: 1,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.44 : 2,286.19 = 1,159.81 : x
  2. Step 2: Convert to fraction form
    1,656.44/2,286.19 = 1,159.81/x
  3. Step 3: Cross multiply
    1,656.44x = 2,286.19 × 1,159.81
  4. Step 4: Simplify right side
    1,656.44x = 2,651,546.02
  5. Step 5: Solve for x
    x = 2,651,546.02/1,656.44
  6. Step 6: Final answer
    x = 1,600.75

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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.