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Finding the Fourth Proportional to 884.54, 1,326.84 and 336.78

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Solution

The fourth proportional to 884.54, 1,326.84 and 336.78 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.54 : 1,326.84 = 336.78 : x
  2. Step 2: Convert to fraction form
    884.54/1,326.84 = 336.78/x
  3. Step 3: Cross multiply
    884.54x = 1,326.84 × 336.78
  4. Step 4: Simplify right side
    884.54x = 446,853.18
  5. Step 5: Solve for x
    x = 446,853.18/884.54
  6. Step 6: Final answer
    x = 505.18

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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.