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Finding the Fourth Proportional to 997.31, 1,374.85 and 701.66

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Solution

The fourth proportional to 997.31, 1,374.85 and 701.66 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 1,374.85 = 701.66 : x
  2. Step 2: Convert to fraction form
    997.31/1,374.85 = 701.66/x
  3. Step 3: Cross multiply
    997.31x = 1,374.85 × 701.66
  4. Step 4: Simplify right side
    997.31x = 964,671.25
  5. Step 5: Solve for x
    x = 964,671.25/997.31
  6. Step 6: Final answer
    x = 967.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.