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Finding the Fourth Proportional to 822.17, 1,233.26 and 353.54

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Solution

The fourth proportional to 822.17, 1,233.26 and 353.54 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.17 : 1,233.26 = 353.54 : x
  2. Step 2: Convert to fraction form
    822.17/1,233.26 = 353.54/x
  3. Step 3: Cross multiply
    822.17x = 1,233.26 × 353.54
  4. Step 4: Simplify right side
    822.17x = 436,008.06
  5. Step 5: Solve for x
    x = 436,008.06/822.17
  6. Step 6: Final answer
    x = 530.31

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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.