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Finding the Fourth Proportional to 822.26, 1,227.05 and 734.64

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Solution

The fourth proportional to 822.26, 1,227.05 and 734.64 is: 1,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,227.05 = 734.64 : x
  2. Step 2: Convert to fraction form
    822.26/1,227.05 = 734.64/x
  3. Step 3: Cross multiply
    822.26x = 1,227.05 × 734.64
  4. Step 4: Simplify right side
    822.26x = 901,436.34
  5. Step 5: Solve for x
    x = 901,436.34/822.26
  6. Step 6: Final answer
    x = 1,096.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.