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Finding the Fourth Proportional to 828.44, 1,242.65 and 394.28

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Solution

The fourth proportional to 828.44, 1,242.65 and 394.28 is: 591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.44 : 1,242.65 = 394.28 : x
  2. Step 2: Convert to fraction form
    828.44/1,242.65 = 394.28/x
  3. Step 3: Cross multiply
    828.44x = 1,242.65 × 394.28
  4. Step 4: Simplify right side
    828.44x = 489,943.86
  5. Step 5: Solve for x
    x = 489,943.86/828.44
  6. Step 6: Final answer
    x = 591.41

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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.