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Finding the Fourth Proportional to 884.19, 1,324.84 and 450.75

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Solution

The fourth proportional to 884.19, 1,324.84 and 450.75 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,324.84 = 450.75 : x
  2. Step 2: Convert to fraction form
    884.19/1,324.84 = 450.75/x
  3. Step 3: Cross multiply
    884.19x = 1,324.84 × 450.75
  4. Step 4: Simplify right side
    884.19x = 597,171.63
  5. Step 5: Solve for x
    x = 597,171.63/884.19
  6. Step 6: Final answer
    x = 675.39

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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.