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Finding the Fourth Proportional to 823.22, 1,235.15 and 494.78

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Solution

The fourth proportional to 823.22, 1,235.15 and 494.78 is: 742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.22 : 1,235.15 = 494.78 : x
  2. Step 2: Convert to fraction form
    823.22/1,235.15 = 494.78/x
  3. Step 3: Cross multiply
    823.22x = 1,235.15 × 494.78
  4. Step 4: Simplify right side
    823.22x = 611,122.58
  5. Step 5: Solve for x
    x = 611,122.58/823.22
  6. Step 6: Final answer
    x = 742.36

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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.