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Finding the Fourth Proportional to 829.36, 1,241.62 and 520.22

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Solution

The fourth proportional to 829.36, 1,241.62 and 520.22 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.36 : 1,241.62 = 520.22 : x
  2. Step 2: Convert to fraction form
    829.36/1,241.62 = 520.22/x
  3. Step 3: Cross multiply
    829.36x = 1,241.62 × 520.22
  4. Step 4: Simplify right side
    829.36x = 645,915.56
  5. Step 5: Solve for x
    x = 645,915.56/829.36
  6. Step 6: Final answer
    x = 778.81

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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.