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Finding the Fourth Proportional to 1,122.24, 1,683.50 and 381.97

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Solution

The fourth proportional to 1,122.24, 1,683.50 and 381.97 is: 573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.24 : 1,683.50 = 381.97 : x
  2. Step 2: Convert to fraction form
    1,122.24/1,683.50 = 381.97/x
  3. Step 3: Cross multiply
    1,122.24x = 1,683.50 × 381.97
  4. Step 4: Simplify right side
    1,122.24x = 643,046.69
  5. Step 5: Solve for x
    x = 643,046.69/1,122.24
  6. Step 6: Final answer
    x = 573.00

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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.