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Finding the Fourth Proportional to 823.87, 1,236.26 and 336.89

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Solution

The fourth proportional to 823.87, 1,236.26 and 336.89 is: 505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.87 : 1,236.26 = 336.89 : x
  2. Step 2: Convert to fraction form
    823.87/1,236.26 = 336.89/x
  3. Step 3: Cross multiply
    823.87x = 1,236.26 × 336.89
  4. Step 4: Simplify right side
    823.87x = 416,483.63
  5. Step 5: Solve for x
    x = 416,483.63/823.87
  6. Step 6: Final answer
    x = 505.52

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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.