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Finding the Fourth Proportional to 997.87, 1,377.23 and 831.82

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Solution

The fourth proportional to 997.87, 1,377.23 and 831.82 is: 1,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.87 : 1,377.23 = 831.82 : x
  2. Step 2: Convert to fraction form
    997.87/1,377.23 = 831.82/x
  3. Step 3: Cross multiply
    997.87x = 1,377.23 × 831.82
  4. Step 4: Simplify right side
    997.87x = 1,145,607.46
  5. Step 5: Solve for x
    x = 1,145,607.46/997.87
  6. Step 6: Final answer
    x = 1,148.05

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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.