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Finding the Fourth Proportional to 1,111.61, 1,667.32 and 381.17

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Solution

The fourth proportional to 1,111.61, 1,667.32 and 381.17 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.61 : 1,667.32 = 381.17 : x
  2. Step 2: Convert to fraction form
    1,111.61/1,667.32 = 381.17/x
  3. Step 3: Cross multiply
    1,111.61x = 1,667.32 × 381.17
  4. Step 4: Simplify right side
    1,111.61x = 635,535.58
  5. Step 5: Solve for x
    x = 635,535.58/1,111.61
  6. Step 6: Final answer
    x = 571.72

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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.