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Finding the Fourth Proportional to 1,301.78, 1,952.73 and 724.22

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Solution

The fourth proportional to 1,301.78, 1,952.73 and 724.22 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.78 : 1,952.73 = 724.22 : x
  2. Step 2: Convert to fraction form
    1,301.78/1,952.73 = 724.22/x
  3. Step 3: Cross multiply
    1,301.78x = 1,952.73 × 724.22
  4. Step 4: Simplify right side
    1,301.78x = 1,414,206.12
  5. Step 5: Solve for x
    x = 1,414,206.12/1,301.78
  6. Step 6: Final answer
    x = 1,086.36

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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.