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Finding the Fourth Proportional to 1,111.68, 1,668.02 and 381.33

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Solution

The fourth proportional to 1,111.68, 1,668.02 and 381.33 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.68 : 1,668.02 = 381.33 : x
  2. Step 2: Convert to fraction form
    1,111.68/1,668.02 = 381.33/x
  3. Step 3: Cross multiply
    1,111.68x = 1,668.02 × 381.33
  4. Step 4: Simplify right side
    1,111.68x = 636,064.16
  5. Step 5: Solve for x
    x = 636,064.16/1,111.68
  6. Step 6: Final answer
    x = 572.16

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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.