Home / 1,645.32-2,270.67-982.20

Finding the Fourth Proportional to 1,645.32, 2,270.67 and 982.20

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Solution

The fourth proportional to 1,645.32, 2,270.67 and 982.20 is: 1,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.32 : 2,270.67 = 982.20 : x
  2. Step 2: Convert to fraction form
    1,645.32/2,270.67 = 982.20/x
  3. Step 3: Cross multiply
    1,645.32x = 2,270.67 × 982.20
  4. Step 4: Simplify right side
    1,645.32x = 2,230,252.07
  5. Step 5: Solve for x
    x = 2,230,252.07/1,645.32
  6. Step 6: Final answer
    x = 1,355.51

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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.