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Finding the Fourth Proportional to 692.67, 1,039.52 and 327.72

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Solution

The fourth proportional to 692.67, 1,039.52 and 327.72 is: 491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 1,039.52 = 327.72 : x
  2. Step 2: Convert to fraction form
    692.67/1,039.52 = 327.72/x
  3. Step 3: Cross multiply
    692.67x = 1,039.52 × 327.72
  4. Step 4: Simplify right side
    692.67x = 340,666.30
  5. Step 5: Solve for x
    x = 340,666.30/692.67
  6. Step 6: Final answer
    x = 491.82

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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.