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Finding the Fourth Proportional to 1,122.21, 1,683.68 and 381.90

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Solution

The fourth proportional to 1,122.21, 1,683.68 and 381.90 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.21 : 1,683.68 = 381.90 : x
  2. Step 2: Convert to fraction form
    1,122.21/1,683.68 = 381.90/x
  3. Step 3: Cross multiply
    1,122.21x = 1,683.68 × 381.90
  4. Step 4: Simplify right side
    1,122.21x = 642,997.39
  5. Step 5: Solve for x
    x = 642,997.39/1,122.21
  6. Step 6: Final answer
    x = 572.97

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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.