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Finding the Fourth Proportional to 829.29, 1,244.04 and 281.34

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Solution

The fourth proportional to 829.29, 1,244.04 and 281.34 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.29 : 1,244.04 = 281.34 : x
  2. Step 2: Convert to fraction form
    829.29/1,244.04 = 281.34/x
  3. Step 3: Cross multiply
    829.29x = 1,244.04 × 281.34
  4. Step 4: Simplify right side
    829.29x = 349,998.21
  5. Step 5: Solve for x
    x = 349,998.21/829.29
  6. Step 6: Final answer
    x = 422.05

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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.