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Finding the Fourth Proportional to 823.89, 1,234.56 and 494.19

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Solution

The fourth proportional to 823.89, 1,234.56 and 494.19 is: 740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.89 : 1,234.56 = 494.19 : x
  2. Step 2: Convert to fraction form
    823.89/1,234.56 = 494.19/x
  3. Step 3: Cross multiply
    823.89x = 1,234.56 × 494.19
  4. Step 4: Simplify right side
    823.89x = 610,107.21
  5. Step 5: Solve for x
    x = 610,107.21/823.89
  6. Step 6: Final answer
    x = 740.52

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Double scale
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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.