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Finding the Fourth Proportional to 902.14, 1,244.93 and 548.12

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Solution

The fourth proportional to 902.14, 1,244.93 and 548.12 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,244.93 = 548.12 : x
  2. Step 2: Convert to fraction form
    902.14/1,244.93 = 548.12/x
  3. Step 3: Cross multiply
    902.14x = 1,244.93 × 548.12
  4. Step 4: Simplify right side
    902.14x = 682,371.03
  5. Step 5: Solve for x
    x = 682,371.03/902.14
  6. Step 6: Final answer
    x = 756.39

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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.