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Finding the Fourth Proportional to 1,233.89, 1,851.81 and 649.23

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Solution

The fourth proportional to 1,233.89, 1,851.81 and 649.23 is: 974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.89 : 1,851.81 = 649.23 : x
  2. Step 2: Convert to fraction form
    1,233.89/1,851.81 = 649.23/x
  3. Step 3: Cross multiply
    1,233.89x = 1,851.81 × 649.23
  4. Step 4: Simplify right side
    1,233.89x = 1,202,243.66
  5. Step 5: Solve for x
    x = 1,202,243.66/1,233.89
  6. Step 6: Final answer
    x = 974.36

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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.