Home / 1,645.43-2,270.48-982.13

Finding the Fourth Proportional to 1,645.43, 2,270.48 and 982.13

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Solution

The fourth proportional to 1,645.43, 2,270.48 and 982.13 is: 1,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.43 : 2,270.48 = 982.13 : x
  2. Step 2: Convert to fraction form
    1,645.43/2,270.48 = 982.13/x
  3. Step 3: Cross multiply
    1,645.43x = 2,270.48 × 982.13
  4. Step 4: Simplify right side
    1,645.43x = 2,229,914.65
  5. Step 5: Solve for x
    x = 2,229,914.65/1,645.43
  6. Step 6: Final answer
    x = 1,355.22

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1.5x scale

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.