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Finding the Fourth Proportional to 671.49, 1,007.28 and 281.09

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Solution

The fourth proportional to 671.49, 1,007.28 and 281.09 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.49 : 1,007.28 = 281.09 : x
  2. Step 2: Convert to fraction form
    671.49/1,007.28 = 281.09/x
  3. Step 3: Cross multiply
    671.49x = 1,007.28 × 281.09
  4. Step 4: Simplify right side
    671.49x = 283,138.43
  5. Step 5: Solve for x
    x = 283,138.43/671.49
  6. Step 6: Final answer
    x = 421.66

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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.