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Finding the Fourth Proportional to 671.10, 1,005.38 and 381.66

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Solution

The fourth proportional to 671.10, 1,005.38 and 381.66 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 1,005.38 = 381.66 : x
  2. Step 2: Convert to fraction form
    671.10/1,005.38 = 381.66/x
  3. Step 3: Cross multiply
    671.10x = 1,005.38 × 381.66
  4. Step 4: Simplify right side
    671.10x = 383,713.33
  5. Step 5: Solve for x
    x = 383,713.33/671.10
  6. Step 6: Final answer
    x = 571.77

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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.