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Finding the Fourth Proportional to 1,244.33, 1,866.07 and 422.38

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Solution

The fourth proportional to 1,244.33, 1,866.07 and 422.38 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.33 : 1,866.07 = 422.38 : x
  2. Step 2: Convert to fraction form
    1,244.33/1,866.07 = 422.38/x
  3. Step 3: Cross multiply
    1,244.33x = 1,866.07 × 422.38
  4. Step 4: Simplify right side
    1,244.33x = 788,193.51
  5. Step 5: Solve for x
    x = 788,193.51/1,244.33
  6. Step 6: Final answer
    x = 633.43

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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.