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Finding the Fourth Proportional to 822.48, 1,229.17 and 736.82

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Solution

The fourth proportional to 822.48, 1,229.17 and 736.82 is: 1,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,229.17 = 736.82 : x
  2. Step 2: Convert to fraction form
    822.48/1,229.17 = 736.82/x
  3. Step 3: Cross multiply
    822.48x = 1,229.17 × 736.82
  4. Step 4: Simplify right side
    822.48x = 905,681.03
  5. Step 5: Solve for x
    x = 905,681.03/822.48
  6. Step 6: Final answer
    x = 1,101.16

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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.