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Finding the Fourth Proportional to 454.84, 682.27 and 112.84

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Solution

The fourth proportional to 454.84, 682.27 and 112.84 is: 169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 682.27 = 112.84 : x
  2. Step 2: Convert to fraction form
    454.84/682.27 = 112.84/x
  3. Step 3: Cross multiply
    454.84x = 682.27 × 112.84
  4. Step 4: Simplify right side
    454.84x = 76,987.35
  5. Step 5: Solve for x
    x = 76,987.35/454.84
  6. Step 6: Final answer
    x = 169.26

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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.