Home / 1,204.22-1,660.47-982.49

Finding the Fourth Proportional to 1,204.22, 1,660.47 and 982.49

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Solution

The fourth proportional to 1,204.22, 1,660.47 and 982.49 is: 1,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.22 : 1,660.47 = 982.49 : x
  2. Step 2: Convert to fraction form
    1,204.22/1,660.47 = 982.49/x
  3. Step 3: Cross multiply
    1,204.22x = 1,660.47 × 982.49
  4. Step 4: Simplify right side
    1,204.22x = 1,631,383.18
  5. Step 5: Solve for x
    x = 1,631,383.18/1,204.22
  6. Step 6: Final answer
    x = 1,354.72

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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.