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Finding the Fourth Proportional to 682.80, 1,021.80 and 466.80

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Solution

The fourth proportional to 682.80, 1,021.80 and 466.80 is: 698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,021.80 = 466.80 : x
  2. Step 2: Convert to fraction form
    682.80/1,021.80 = 466.80/x
  3. Step 3: Cross multiply
    682.80x = 1,021.80 × 466.80
  4. Step 4: Simplify right side
    682.80x = 476,976.24
  5. Step 5: Solve for x
    x = 476,976.24/682.80
  6. Step 6: Final answer
    x = 698.56

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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.