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Finding the Fourth Proportional to 1,768.74, 2,440.65 and 982.68

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Solution

The fourth proportional to 1,768.74, 2,440.65 and 982.68 is: 1,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.74 : 2,440.65 = 982.68 : x
  2. Step 2: Convert to fraction form
    1,768.74/2,440.65 = 982.68/x
  3. Step 3: Cross multiply
    1,768.74x = 2,440.65 × 982.68
  4. Step 4: Simplify right side
    1,768.74x = 2,398,377.94
  5. Step 5: Solve for x
    x = 2,398,377.94/1,768.74
  6. Step 6: Final answer
    x = 1,355.98

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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.