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Finding the Fourth Proportional to 823.55, 1,235.78 and 336.56

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Solution

The fourth proportional to 823.55, 1,235.78 and 336.56 is: 505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.55 : 1,235.78 = 336.56 : x
  2. Step 2: Convert to fraction form
    823.55/1,235.78 = 336.56/x
  3. Step 3: Cross multiply
    823.55x = 1,235.78 × 336.56
  4. Step 4: Simplify right side
    823.55x = 415,912.43
  5. Step 5: Solve for x
    x = 415,912.43/823.55
  6. Step 6: Final answer
    x = 505.03

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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.