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Finding the Fourth Proportional to 731.97, 1,103.49 and 692.28

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Solution

The fourth proportional to 731.97, 1,103.49 and 692.28 is: 1,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,103.49 = 692.28 : x
  2. Step 2: Convert to fraction form
    731.97/1,103.49 = 692.28/x
  3. Step 3: Cross multiply
    731.97x = 1,103.49 × 692.28
  4. Step 4: Simplify right side
    731.97x = 763,924.06
  5. Step 5: Solve for x
    x = 763,924.06/731.97
  6. Step 6: Final answer
    x = 1,043.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.