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Finding the Fourth Proportional to 906.89, 1,251.29 and 720.99

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Solution

The fourth proportional to 906.89, 1,251.29 and 720.99 is: 994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.89 : 1,251.29 = 720.99 : x
  2. Step 2: Convert to fraction form
    906.89/1,251.29 = 720.99/x
  3. Step 3: Cross multiply
    906.89x = 1,251.29 × 720.99
  4. Step 4: Simplify right side
    906.89x = 902,163.97
  5. Step 5: Solve for x
    x = 902,163.97/906.89
  6. Step 6: Final answer
    x = 994.79

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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.