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Finding the Fourth Proportional to 1,084.40, 1,625.78 and 381.42

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Solution

The fourth proportional to 1,084.40, 1,625.78 and 381.42 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.40 : 1,625.78 = 381.42 : x
  2. Step 2: Convert to fraction form
    1,084.40/1,625.78 = 381.42/x
  3. Step 3: Cross multiply
    1,084.40x = 1,625.78 × 381.42
  4. Step 4: Simplify right side
    1,084.40x = 620,105.01
  5. Step 5: Solve for x
    x = 620,105.01/1,084.40
  6. Step 6: Final answer
    x = 571.84

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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.