Home / 1,645.53-2,270.77-982.05

Finding the Fourth Proportional to 1,645.53, 2,270.77 and 982.05

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Solution

The fourth proportional to 1,645.53, 2,270.77 and 982.05 is: 1,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.53 : 2,270.77 = 982.05 : x
  2. Step 2: Convert to fraction form
    1,645.53/2,270.77 = 982.05/x
  3. Step 3: Cross multiply
    1,645.53x = 2,270.77 × 982.05
  4. Step 4: Simplify right side
    1,645.53x = 2,230,009.68
  5. Step 5: Solve for x
    x = 2,230,009.68/1,645.53
  6. Step 6: Final answer
    x = 1,355.19

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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.