Home / 1,660.82-2,291.46-1,071.70

Finding the Fourth Proportional to 1,660.82, 2,291.46 and 1,071.70

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Solution

The fourth proportional to 1,660.82, 2,291.46 and 1,071.70 is: 1,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.82 : 2,291.46 = 1,071.70 : x
  2. Step 2: Convert to fraction form
    1,660.82/2,291.46 = 1,071.70/x
  3. Step 3: Cross multiply
    1,660.82x = 2,291.46 × 1,071.70
  4. Step 4: Simplify right side
    1,660.82x = 2,455,757.68
  5. Step 5: Solve for x
    x = 2,455,757.68/1,660.82
  6. Step 6: Final answer
    x = 1,478.64

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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.