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Finding the Fourth Proportional to 671.46, 1,006.37 and 281.31

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Solution

The fourth proportional to 671.46, 1,006.37 and 281.31 is: 421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.46 : 1,006.37 = 281.31 : x
  2. Step 2: Convert to fraction form
    671.46/1,006.37 = 281.31/x
  3. Step 3: Cross multiply
    671.46x = 1,006.37 × 281.31
  4. Step 4: Simplify right side
    671.46x = 283,101.94
  5. Step 5: Solve for x
    x = 283,101.94/671.46
  6. Step 6: Final answer
    x = 421.62

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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.