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Finding the Fourth Proportional to 822.09, 1,233.61 and 456.85

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Solution

The fourth proportional to 822.09, 1,233.61 and 456.85 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.09 : 1,233.61 = 456.85 : x
  2. Step 2: Convert to fraction form
    822.09/1,233.61 = 456.85/x
  3. Step 3: Cross multiply
    822.09x = 1,233.61 × 456.85
  4. Step 4: Simplify right side
    822.09x = 563,574.73
  5. Step 5: Solve for x
    x = 563,574.73/822.09
  6. Step 6: Final answer
    x = 685.54

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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.