Home / 1,645.28-2,270.94-982.58

Finding the Fourth Proportional to 1,645.28, 2,270.94 and 982.58

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Solution

The fourth proportional to 1,645.28, 2,270.94 and 982.58 is: 1,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.28 : 2,270.94 = 982.58 : x
  2. Step 2: Convert to fraction form
    1,645.28/2,270.94 = 982.58/x
  3. Step 3: Cross multiply
    1,645.28x = 2,270.94 × 982.58
  4. Step 4: Simplify right side
    1,645.28x = 2,231,380.23
  5. Step 5: Solve for x
    x = 2,231,380.23/1,645.28
  6. Step 6: Final answer
    x = 1,356.23

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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.