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Finding the Fourth Proportional to 562.57, 843.30 and 254.50

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Solution

The fourth proportional to 562.57, 843.30 and 254.50 is: 381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 843.30 = 254.50 : x
  2. Step 2: Convert to fraction form
    562.57/843.30 = 254.50/x
  3. Step 3: Cross multiply
    562.57x = 843.30 × 254.50
  4. Step 4: Simplify right side
    562.57x = 214,615.63
  5. Step 5: Solve for x
    x = 214,615.63/562.57
  6. Step 6: Final answer
    x = 381.49

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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.