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Finding the Fourth Proportional to 1,122.02, 1,683.24 and 381.69

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Solution

The fourth proportional to 1,122.02, 1,683.24 and 381.69 is: 572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.02 : 1,683.24 = 381.69 : x
  2. Step 2: Convert to fraction form
    1,122.02/1,683.24 = 381.69/x
  3. Step 3: Cross multiply
    1,122.02x = 1,683.24 × 381.69
  4. Step 4: Simplify right side
    1,122.02x = 642,475.88
  5. Step 5: Solve for x
    x = 642,475.88/1,122.02
  6. Step 6: Final answer
    x = 572.61

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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.