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Finding the Fourth Proportional to 997.07, 1,374.53 and 701.42

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Solution

The fourth proportional to 997.07, 1,374.53 and 701.42 is: 966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.07 : 1,374.53 = 701.42 : x
  2. Step 2: Convert to fraction form
    997.07/1,374.53 = 701.42/x
  3. Step 3: Cross multiply
    997.07x = 1,374.53 × 701.42
  4. Step 4: Simplify right side
    997.07x = 964,120.24
  5. Step 5: Solve for x
    x = 964,120.24/997.07
  6. Step 6: Final answer
    x = 966.95

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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.