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Finding the Fourth Proportional to 828.34, 1,143.04 and 478.96

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Solution

The fourth proportional to 828.34, 1,143.04 and 478.96 is: 660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,143.04 = 478.96 : x
  2. Step 2: Convert to fraction form
    828.34/1,143.04 = 478.96/x
  3. Step 3: Cross multiply
    828.34x = 1,143.04 × 478.96
  4. Step 4: Simplify right side
    828.34x = 547,470.44
  5. Step 5: Solve for x
    x = 547,470.44/828.34
  6. Step 6: Final answer
    x = 660.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.