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Finding the Fourth Proportional to 682.16, 1,024.62 and 408.80

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Solution

The fourth proportional to 682.16, 1,024.62 and 408.80 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,024.62 = 408.80 : x
  2. Step 2: Convert to fraction form
    682.16/1,024.62 = 408.80/x
  3. Step 3: Cross multiply
    682.16x = 1,024.62 × 408.80
  4. Step 4: Simplify right side
    682.16x = 418,864.66
  5. Step 5: Solve for x
    x = 418,864.66/682.16
  6. Step 6: Final answer
    x = 614.03

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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.