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Finding the Fourth Proportional to 692.12, 1,032.22 and 682.85

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Solution

The fourth proportional to 692.12, 1,032.22 and 682.85 is: 1,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 1,032.22 = 682.85 : x
  2. Step 2: Convert to fraction form
    692.12/1,032.22 = 682.85/x
  3. Step 3: Cross multiply
    692.12x = 1,032.22 × 682.85
  4. Step 4: Simplify right side
    692.12x = 704,851.02
  5. Step 5: Solve for x
    x = 704,851.02/692.12
  6. Step 6: Final answer
    x = 1,018.39

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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.