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Finding the Fourth Proportional to 682, 1,021.64 and 517.76

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Solution

The fourth proportional to 682, 1,021.64 and 517.76 is: 775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682 : 1,021.64 = 517.76 : x
  2. Step 2: Convert to fraction form
    682/1,021.64 = 517.76/x
  3. Step 3: Cross multiply
    682x = 1,021.64 × 517.76
  4. Step 4: Simplify right side
    682x = 528,964.33
  5. Step 5: Solve for x
    x = 528,964.33/682
  6. Step 6: Final answer
    x = 775.61

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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.