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Finding the Fourth Proportional to 778.68, 1,165.14 and 683.64

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Solution

The fourth proportional to 778.68, 1,165.14 and 683.64 is: 1,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,165.14 = 683.64 : x
  2. Step 2: Convert to fraction form
    778.68/1,165.14 = 683.64/x
  3. Step 3: Cross multiply
    778.68x = 1,165.14 × 683.64
  4. Step 4: Simplify right side
    778.68x = 796,536.31
  5. Step 5: Solve for x
    x = 796,536.31/778.68
  6. Step 6: Final answer
    x = 1,022.93

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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.