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Finding the Fourth Proportional to 828.58, 1,241.76 and 394.78

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Solution

The fourth proportional to 828.58, 1,241.76 and 394.78 is: 591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.58 : 1,241.76 = 394.78 : x
  2. Step 2: Convert to fraction form
    828.58/1,241.76 = 394.78/x
  3. Step 3: Cross multiply
    828.58x = 1,241.76 × 394.78
  4. Step 4: Simplify right side
    828.58x = 490,222.01
  5. Step 5: Solve for x
    x = 490,222.01/828.58
  6. Step 6: Final answer
    x = 591.64

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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.