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Finding the Fourth Proportional to 828.82, 1,243.78 and 458.78

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Solution

The fourth proportional to 828.82, 1,243.78 and 458.78 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.82 : 1,243.78 = 458.78 : x
  2. Step 2: Convert to fraction form
    828.82/1,243.78 = 458.78/x
  3. Step 3: Cross multiply
    828.82x = 1,243.78 × 458.78
  4. Step 4: Simplify right side
    828.82x = 570,621.39
  5. Step 5: Solve for x
    x = 570,621.39/828.82
  6. Step 6: Final answer
    x = 688.47

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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.