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Finding the Fourth Proportional to 862.97, 1,190.26 and 548.33

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Solution

The fourth proportional to 862.97, 1,190.26 and 548.33 is: 756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.97 : 1,190.26 = 548.33 : x
  2. Step 2: Convert to fraction form
    862.97/1,190.26 = 548.33/x
  3. Step 3: Cross multiply
    862.97x = 1,190.26 × 548.33
  4. Step 4: Simplify right side
    862.97x = 652,646.57
  5. Step 5: Solve for x
    x = 652,646.57/862.97
  6. Step 6: Final answer
    x = 756.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.