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Finding the Fourth Proportional to 828, 1,142.56 and 454.90

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Solution

The fourth proportional to 828, 1,142.56 and 454.90 is: 627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,142.56 = 454.90 : x
  2. Step 2: Convert to fraction form
    828/1,142.56 = 454.90/x
  3. Step 3: Cross multiply
    828x = 1,142.56 × 454.90
  4. Step 4: Simplify right side
    828x = 519,750.54
  5. Step 5: Solve for x
    x = 519,750.54/828
  6. Step 6: Final answer
    x = 627.72

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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.