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Finding the Fourth Proportional to 683.05, 1,022.31 and 519.82

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Solution

The fourth proportional to 683.05, 1,022.31 and 519.82 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.05 : 1,022.31 = 519.82 : x
  2. Step 2: Convert to fraction form
    683.05/1,022.31 = 519.82/x
  3. Step 3: Cross multiply
    683.05x = 1,022.31 × 519.82
  4. Step 4: Simplify right side
    683.05x = 531,417.18
  5. Step 5: Solve for x
    x = 531,417.18/683.05
  6. Step 6: Final answer
    x = 778.01

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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.