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Finding the Fourth Proportional to 682.90, 1,024.44 and 220.75

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Solution

The fourth proportional to 682.90, 1,024.44 and 220.75 is: 331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.90 : 1,024.44 = 220.75 : x
  2. Step 2: Convert to fraction form
    682.90/1,024.44 = 220.75/x
  3. Step 3: Cross multiply
    682.90x = 1,024.44 × 220.75
  4. Step 4: Simplify right side
    682.90x = 226,145.13
  5. Step 5: Solve for x
    x = 226,145.13/682.90
  6. Step 6: Final answer
    x = 331.15

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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.