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Finding the Fourth Proportional to 1,121.94, 1,682.67 and 381.45

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Solution

The fourth proportional to 1,121.94, 1,682.67 and 381.45 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.94 : 1,682.67 = 381.45 : x
  2. Step 2: Convert to fraction form
    1,121.94/1,682.67 = 381.45/x
  3. Step 3: Cross multiply
    1,121.94x = 1,682.67 × 381.45
  4. Step 4: Simplify right side
    1,121.94x = 641,854.47
  5. Step 5: Solve for x
    x = 641,854.47/1,121.94
  6. Step 6: Final answer
    x = 572.09

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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.