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Finding the Fourth Proportional to 682.02, 1,024.38 and 408.65

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Solution

The fourth proportional to 682.02, 1,024.38 and 408.65 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,024.38 = 408.65 : x
  2. Step 2: Convert to fraction form
    682.02/1,024.38 = 408.65/x
  3. Step 3: Cross multiply
    682.02x = 1,024.38 × 408.65
  4. Step 4: Simplify right side
    682.02x = 418,607.77
  5. Step 5: Solve for x
    x = 418,607.77/682.02
  6. Step 6: Final answer
    x = 613.78

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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.