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Finding the Fourth Proportional to 823.21, 1,234.85 and 460.31

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Solution

The fourth proportional to 823.21, 1,234.85 and 460.31 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.21 : 1,234.85 = 460.31 : x
  2. Step 2: Convert to fraction form
    823.21/1,234.85 = 460.31/x
  3. Step 3: Cross multiply
    823.21x = 1,234.85 × 460.31
  4. Step 4: Simplify right side
    823.21x = 568,405.33
  5. Step 5: Solve for x
    x = 568,405.33/823.21
  6. Step 6: Final answer
    x = 690.48

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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.