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Finding the Fourth Proportional to 902.34, 1,244.46 and 692.45

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Solution

The fourth proportional to 902.34, 1,244.46 and 692.45 is: 954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.34 : 1,244.46 = 692.45 : x
  2. Step 2: Convert to fraction form
    902.34/1,244.46 = 692.45/x
  3. Step 3: Cross multiply
    902.34x = 1,244.46 × 692.45
  4. Step 4: Simplify right side
    902.34x = 861,727.37
  5. Step 5: Solve for x
    x = 861,727.37/902.34
  6. Step 6: Final answer
    x = 954.99

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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.