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Finding the Fourth Proportional to 692.20, 949.07 and 681.40

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Solution

The fourth proportional to 692.20, 949.07 and 681.40 is: 934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.20 : 949.07 = 681.40 : x
  2. Step 2: Convert to fraction form
    692.20/949.07 = 681.40/x
  3. Step 3: Cross multiply
    692.20x = 949.07 × 681.40
  4. Step 4: Simplify right side
    692.20x = 646,696.30
  5. Step 5: Solve for x
    x = 646,696.30/692.20
  6. Step 6: Final answer
    x = 934.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.