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Finding the Fourth Proportional to 823.42, 1,235.19 and 336.34

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Solution

The fourth proportional to 823.42, 1,235.19 and 336.34 is: 504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.42 : 1,235.19 = 336.34 : x
  2. Step 2: Convert to fraction form
    823.42/1,235.19 = 336.34/x
  3. Step 3: Cross multiply
    823.42x = 1,235.19 × 336.34
  4. Step 4: Simplify right side
    823.42x = 415,437.63
  5. Step 5: Solve for x
    x = 415,437.63/823.42
  6. Step 6: Final answer
    x = 504.53

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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.