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Finding the Fourth Proportional to 902.12, 1,244.21 and 692.03

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Solution

The fourth proportional to 902.12, 1,244.21 and 692.03 is: 954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,244.21 = 692.03 : x
  2. Step 2: Convert to fraction form
    902.12/1,244.21 = 692.03/x
  3. Step 3: Cross multiply
    902.12x = 1,244.21 × 692.03
  4. Step 4: Simplify right side
    902.12x = 861,020.97
  5. Step 5: Solve for x
    x = 861,020.97/902.12
  6. Step 6: Final answer
    x = 954.45

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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.