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Finding the Fourth Proportional to 1,169.01, 1,753.98 and 438.78

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Solution

The fourth proportional to 1,169.01, 1,753.98 and 438.78 is: 658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.01 : 1,753.98 = 438.78 : x
  2. Step 2: Convert to fraction form
    1,169.01/1,753.98 = 438.78/x
  3. Step 3: Cross multiply
    1,169.01x = 1,753.98 × 438.78
  4. Step 4: Simplify right side
    1,169.01x = 769,611.34
  5. Step 5: Solve for x
    x = 769,611.34/1,169.01
  6. Step 6: Final answer
    x = 658.34

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