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Finding the Fourth Proportional to 822.25, 1,227.95 and 731.53

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Solution

The fourth proportional to 822.25, 1,227.95 and 731.53 is: 1,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,227.95 = 731.53 : x
  2. Step 2: Convert to fraction form
    822.25/1,227.95 = 731.53/x
  3. Step 3: Cross multiply
    822.25x = 1,227.95 × 731.53
  4. Step 4: Simplify right side
    822.25x = 898,287.00
  5. Step 5: Solve for x
    x = 898,287.00/822.25
  6. Step 6: Final answer
    x = 1,092.47

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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.