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Finding the Fourth Proportional to 692.89, 1,039.40 and 199.30

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Solution

The fourth proportional to 692.89, 1,039.40 and 199.30 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.89 : 1,039.40 = 199.30 : x
  2. Step 2: Convert to fraction form
    692.89/1,039.40 = 199.30/x
  3. Step 3: Cross multiply
    692.89x = 1,039.40 × 199.30
  4. Step 4: Simplify right side
    692.89x = 207,148.83
  5. Step 5: Solve for x
    x = 207,148.83/692.89
  6. Step 6: Final answer
    x = 298.96

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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.