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Finding the Fourth Proportional to 1,768.46, 2,440.49 and 982.49

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Solution

The fourth proportional to 1,768.46, 2,440.49 and 982.49 is: 1,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.46 : 2,440.49 = 982.49 : x
  2. Step 2: Convert to fraction form
    1,768.46/2,440.49 = 982.49/x
  3. Step 3: Cross multiply
    1,768.46x = 2,440.49 × 982.49
  4. Step 4: Simplify right side
    1,768.46x = 2,397,739.91
  5. Step 5: Solve for x
    x = 2,397,739.91/1,768.46
  6. Step 6: Final answer
    x = 1,355.84

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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.