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Finding the Fourth Proportional to 671.10, 1,005.96 and 381.92

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Solution

The fourth proportional to 671.10, 1,005.96 and 381.92 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 1,005.96 = 381.92 : x
  2. Step 2: Convert to fraction form
    671.10/1,005.96 = 381.92/x
  3. Step 3: Cross multiply
    671.10x = 1,005.96 × 381.92
  4. Step 4: Simplify right side
    671.10x = 384,196.24
  5. Step 5: Solve for x
    x = 384,196.24/671.10
  6. Step 6: Final answer
    x = 572.49

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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.