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Finding the Fourth Proportional to 828, 1,142.82 and 496.62

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Solution

The fourth proportional to 828, 1,142.82 and 496.62 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,142.82 = 496.62 : x
  2. Step 2: Convert to fraction form
    828/1,142.82 = 496.62/x
  3. Step 3: Cross multiply
    828x = 1,142.82 × 496.62
  4. Step 4: Simplify right side
    828x = 567,547.27
  5. Step 5: Solve for x
    x = 567,547.27/828
  6. Step 6: Final answer
    x = 685.44

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Why These Related Problems?

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