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Finding the Fourth Proportional to 562.54, 843.66 and 254.46

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Solution

The fourth proportional to 562.54, 843.66 and 254.46 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.54 : 843.66 = 254.46 : x
  2. Step 2: Convert to fraction form
    562.54/843.66 = 254.46/x
  3. Step 3: Cross multiply
    562.54x = 843.66 × 254.46
  4. Step 4: Simplify right side
    562.54x = 214,677.72
  5. Step 5: Solve for x
    x = 214,677.72/562.54
  6. Step 6: Final answer
    x = 381.62

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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.