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Finding the Fourth Proportional to 828.80, 1,142.54 and 579.34

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Solution

The fourth proportional to 828.80, 1,142.54 and 579.34 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.80 : 1,142.54 = 579.34 : x
  2. Step 2: Convert to fraction form
    828.80/1,142.54 = 579.34/x
  3. Step 3: Cross multiply
    828.80x = 1,142.54 × 579.34
  4. Step 4: Simplify right side
    828.80x = 661,919.08
  5. Step 5: Solve for x
    x = 661,919.08/828.80
  6. Step 6: Final answer
    x = 798.65

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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.