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Finding the Fourth Proportional to 997.88, 1,377.07 and 687.92

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Solution

The fourth proportional to 997.88, 1,377.07 and 687.92 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,377.07 = 687.92 : x
  2. Step 2: Convert to fraction form
    997.88/1,377.07 = 687.92/x
  3. Step 3: Cross multiply
    997.88x = 1,377.07 × 687.92
  4. Step 4: Simplify right side
    997.88x = 947,305.39
  5. Step 5: Solve for x
    x = 947,305.39/997.88
  6. Step 6: Final answer
    x = 949.32

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1.5x scale

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.