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Finding the Fourth Proportional to 828.70, 1,241.70 and 712.60

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Solution

The fourth proportional to 828.70, 1,241.70 and 712.60 is: 1,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.70 : 1,241.70 = 712.60 : x
  2. Step 2: Convert to fraction form
    828.70/1,241.70 = 712.60/x
  3. Step 3: Cross multiply
    828.70x = 1,241.70 × 712.60
  4. Step 4: Simplify right side
    828.70x = 884,835.42
  5. Step 5: Solve for x
    x = 884,835.42/828.70
  6. Step 6: Final answer
    x = 1,067.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.