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Finding the Fourth Proportional to 913.22, 1,367.88 and 605.22

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Solution

The fourth proportional to 913.22, 1,367.88 and 605.22 is: 906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.22 : 1,367.88 = 605.22 : x
  2. Step 2: Convert to fraction form
    913.22/1,367.88 = 605.22/x
  3. Step 3: Cross multiply
    913.22x = 1,367.88 × 605.22
  4. Step 4: Simplify right side
    913.22x = 827,868.33
  5. Step 5: Solve for x
    x = 827,868.33/913.22
  6. Step 6: Final answer
    x = 906.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.