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Finding the Fourth Proportional to 918.25, 1,266.06 and 799.79

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Solution

The fourth proportional to 918.25, 1,266.06 and 799.79 is: 1,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.25 : 1,266.06 = 799.79 : x
  2. Step 2: Convert to fraction form
    918.25/1,266.06 = 799.79/x
  3. Step 3: Cross multiply
    918.25x = 1,266.06 × 799.79
  4. Step 4: Simplify right side
    918.25x = 1,012,578.80
  5. Step 5: Solve for x
    x = 1,012,578.80/918.25
  6. Step 6: Final answer
    x = 1,102.73

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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.