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Finding the Fourth Proportional to 822.74, 1,234.22 and 303

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Solution

The fourth proportional to 822.74, 1,234.22 and 303 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,234.22 = 303 : x
  2. Step 2: Convert to fraction form
    822.74/1,234.22 = 303/x
  3. Step 3: Cross multiply
    822.74x = 1,234.22 × 303
  4. Step 4: Simplify right side
    822.74x = 373,968.66
  5. Step 5: Solve for x
    x = 373,968.66/822.74
  6. Step 6: Final answer
    x = 454.54

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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.