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Finding the Fourth Proportional to 1,296.49, 1,945.31 and 680.05

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Solution

The fourth proportional to 1,296.49, 1,945.31 and 680.05 is: 1,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.49 : 1,945.31 = 680.05 : x
  2. Step 2: Convert to fraction form
    1,296.49/1,945.31 = 680.05/x
  3. Step 3: Cross multiply
    1,296.49x = 1,945.31 × 680.05
  4. Step 4: Simplify right side
    1,296.49x = 1,322,908.07
  5. Step 5: Solve for x
    x = 1,322,908.07/1,296.49
  6. Step 6: Final answer
    x = 1,020.38

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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.