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Finding the Fourth Proportional to 828.42, 1,241.41 and 340.59

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Solution

The fourth proportional to 828.42, 1,241.41 and 340.59 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.42 : 1,241.41 = 340.59 : x
  2. Step 2: Convert to fraction form
    828.42/1,241.41 = 340.59/x
  3. Step 3: Cross multiply
    828.42x = 1,241.41 × 340.59
  4. Step 4: Simplify right side
    828.42x = 422,811.83
  5. Step 5: Solve for x
    x = 422,811.83/828.42
  6. Step 6: Final answer
    x = 510.38

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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.