Home / 1,206.29-1,665.97-982.82

Finding the Fourth Proportional to 1,206.29, 1,665.97 and 982.82

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Solution

The fourth proportional to 1,206.29, 1,665.97 and 982.82 is: 1,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.29 : 1,665.97 = 982.82 : x
  2. Step 2: Convert to fraction form
    1,206.29/1,665.97 = 982.82/x
  3. Step 3: Cross multiply
    1,206.29x = 1,665.97 × 982.82
  4. Step 4: Simplify right side
    1,206.29x = 1,637,350.34
  5. Step 5: Solve for x
    x = 1,637,350.34/1,206.29
  6. Step 6: Final answer
    x = 1,357.34

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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.