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Finding the Fourth Proportional to 828.17, 1,242.21 and 341.21

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Solution

The fourth proportional to 828.17, 1,242.21 and 341.21 is: 511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.17 : 1,242.21 = 341.21 : x
  2. Step 2: Convert to fraction form
    828.17/1,242.21 = 341.21/x
  3. Step 3: Cross multiply
    828.17x = 1,242.21 × 341.21
  4. Step 4: Simplify right side
    828.17x = 423,854.47
  5. Step 5: Solve for x
    x = 423,854.47/828.17
  6. Step 6: Final answer
    x = 511.80

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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.