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Finding the Fourth Proportional to 1,243.06, 1,862.49 and 968.02

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Solution

The fourth proportional to 1,243.06, 1,862.49 and 968.02 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.06 : 1,862.49 = 968.02 : x
  2. Step 2: Convert to fraction form
    1,243.06/1,862.49 = 968.02/x
  3. Step 3: Cross multiply
    1,243.06x = 1,862.49 × 968.02
  4. Step 4: Simplify right side
    1,243.06x = 1,802,927.57
  5. Step 5: Solve for x
    x = 1,802,927.57/1,243.06
  6. Step 6: Final answer
    x = 1,450.39

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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.