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Finding the Fourth Proportional to 692.87, 1,039.31 and 475.79

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Solution

The fourth proportional to 692.87, 1,039.31 and 475.79 is: 713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.87 : 1,039.31 = 475.79 : x
  2. Step 2: Convert to fraction form
    692.87/1,039.31 = 475.79/x
  3. Step 3: Cross multiply
    692.87x = 1,039.31 × 475.79
  4. Step 4: Simplify right side
    692.87x = 494,493.30
  5. Step 5: Solve for x
    x = 494,493.30/692.87
  6. Step 6: Final answer
    x = 713.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.