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Finding the Fourth Proportional to 822.51, 1,227.39 and 734.90

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Solution

The fourth proportional to 822.51, 1,227.39 and 734.90 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.51 : 1,227.39 = 734.90 : x
  2. Step 2: Convert to fraction form
    822.51/1,227.39 = 734.90/x
  3. Step 3: Cross multiply
    822.51x = 1,227.39 × 734.90
  4. Step 4: Simplify right side
    822.51x = 902,008.91
  5. Step 5: Solve for x
    x = 902,008.91/822.51
  6. Step 6: Final answer
    x = 1,096.65

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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.