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Finding the Fourth Proportional to 828.31, 1,242.12 and 341.20

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Solution

The fourth proportional to 828.31, 1,242.12 and 341.20 is: 511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.31 : 1,242.12 = 341.20 : x
  2. Step 2: Convert to fraction form
    828.31/1,242.12 = 341.20/x
  3. Step 3: Cross multiply
    828.31x = 1,242.12 × 341.20
  4. Step 4: Simplify right side
    828.31x = 423,811.34
  5. Step 5: Solve for x
    x = 423,811.34/828.31
  6. Step 6: Final answer
    x = 511.66

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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.