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Finding the Fourth Proportional to 683.65, 1,025.67 and 293.44

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Solution

The fourth proportional to 683.65, 1,025.67 and 293.44 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,025.67 = 293.44 : x
  2. Step 2: Convert to fraction form
    683.65/1,025.67 = 293.44/x
  3. Step 3: Cross multiply
    683.65x = 1,025.67 × 293.44
  4. Step 4: Simplify right side
    683.65x = 300,972.60
  5. Step 5: Solve for x
    x = 300,972.60/683.65
  6. Step 6: Final answer
    x = 440.24

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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.