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Finding the Fourth Proportional to 828.96, 1,243.68 and 395.88

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Solution

The fourth proportional to 828.96, 1,243.68 and 395.88 is: 593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.96 : 1,243.68 = 395.88 : x
  2. Step 2: Convert to fraction form
    828.96/1,243.68 = 395.88/x
  3. Step 3: Cross multiply
    828.96x = 1,243.68 × 395.88
  4. Step 4: Simplify right side
    828.96x = 492,348.04
  5. Step 5: Solve for x
    x = 492,348.04/828.96
  6. Step 6: Final answer
    x = 593.93

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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.