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Finding the Fourth Proportional to 692.76, 1,033.89 and 676.38

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Solution

The fourth proportional to 692.76, 1,033.89 and 676.38 is: 1,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 1,033.89 = 676.38 : x
  2. Step 2: Convert to fraction form
    692.76/1,033.89 = 676.38/x
  3. Step 3: Cross multiply
    692.76x = 1,033.89 × 676.38
  4. Step 4: Simplify right side
    692.76x = 699,302.52
  5. Step 5: Solve for x
    x = 699,302.52/692.76
  6. Step 6: Final answer
    x = 1,009.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.