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Finding the Fourth Proportional to 828.42, 1,142.28 and 778.20

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Solution

The fourth proportional to 828.42, 1,142.28 and 778.20 is: 1,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.42 : 1,142.28 = 778.20 : x
  2. Step 2: Convert to fraction form
    828.42/1,142.28 = 778.20/x
  3. Step 3: Cross multiply
    828.42x = 1,142.28 × 778.20
  4. Step 4: Simplify right side
    828.42x = 888,922.30
  5. Step 5: Solve for x
    x = 888,922.30/828.42
  6. Step 6: Final answer
    x = 1,073.03

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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.