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Finding the Fourth Proportional to 1,111.83, 1,668.04 and 381.41

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Solution

The fourth proportional to 1,111.83, 1,668.04 and 381.41 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.83 : 1,668.04 = 381.41 : x
  2. Step 2: Convert to fraction form
    1,111.83/1,668.04 = 381.41/x
  3. Step 3: Cross multiply
    1,111.83x = 1,668.04 × 381.41
  4. Step 4: Simplify right side
    1,111.83x = 636,207.14
  5. Step 5: Solve for x
    x = 636,207.14/1,111.83
  6. Step 6: Final answer
    x = 572.22

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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.