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Finding the Fourth Proportional to 671.07, 1,006.68 and 378.66

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Solution

The fourth proportional to 671.07, 1,006.68 and 378.66 is: 568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.07 : 1,006.68 = 378.66 : x
  2. Step 2: Convert to fraction form
    671.07/1,006.68 = 378.66/x
  3. Step 3: Cross multiply
    671.07x = 1,006.68 × 378.66
  4. Step 4: Simplify right side
    671.07x = 381,189.45
  5. Step 5: Solve for x
    x = 381,189.45/671.07
  6. Step 6: Final answer
    x = 568.03

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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.