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Finding the Fourth Proportional to 696.85, 1,039.82 and 692.80

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Solution

The fourth proportional to 696.85, 1,039.82 and 692.80 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.85 : 1,039.82 = 692.80 : x
  2. Step 2: Convert to fraction form
    696.85/1,039.82 = 692.80/x
  3. Step 3: Cross multiply
    696.85x = 1,039.82 × 692.80
  4. Step 4: Simplify right side
    696.85x = 720,387.30
  5. Step 5: Solve for x
    x = 720,387.30/696.85
  6. Step 6: Final answer
    x = 1,033.78

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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.