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Finding the Fourth Proportional to 1,764.49, 2,647.02 and 668.95

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Solution

The fourth proportional to 1,764.49, 2,647.02 and 668.95 is: 1,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.49 : 2,647.02 = 668.95 : x
  2. Step 2: Convert to fraction form
    1,764.49/2,647.02 = 668.95/x
  3. Step 3: Cross multiply
    1,764.49x = 2,647.02 × 668.95
  4. Step 4: Simplify right side
    1,764.49x = 1,770,724.03
  5. Step 5: Solve for x
    x = 1,770,724.03/1,764.49
  6. Step 6: Final answer
    x = 1,003.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.