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Finding the Fourth Proportional to 828.22, 1,142.92 and 455.20

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Solution

The fourth proportional to 828.22, 1,142.92 and 455.20 is: 628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.22 : 1,142.92 = 455.20 : x
  2. Step 2: Convert to fraction form
    828.22/1,142.92 = 455.20/x
  3. Step 3: Cross multiply
    828.22x = 1,142.92 × 455.20
  4. Step 4: Simplify right side
    828.22x = 520,257.18
  5. Step 5: Solve for x
    x = 520,257.18/828.22
  6. Step 6: Final answer
    x = 628.16

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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.