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Finding the Fourth Proportional to 997.77, 1,377.50 and 667.29

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Solution

The fourth proportional to 997.77, 1,377.50 and 667.29 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.77 : 1,377.50 = 667.29 : x
  2. Step 2: Convert to fraction form
    997.77/1,377.50 = 667.29/x
  3. Step 3: Cross multiply
    997.77x = 1,377.50 × 667.29
  4. Step 4: Simplify right side
    997.77x = 919,191.98
  5. Step 5: Solve for x
    x = 919,191.98/997.77
  6. Step 6: Final answer
    x = 921.25

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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.