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Finding the Fourth Proportional to 683.77, 1,025.71 and 196.83

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Solution

The fourth proportional to 683.77, 1,025.71 and 196.83 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.77 : 1,025.71 = 196.83 : x
  2. Step 2: Convert to fraction form
    683.77/1,025.71 = 196.83/x
  3. Step 3: Cross multiply
    683.77x = 1,025.71 × 196.83
  4. Step 4: Simplify right side
    683.77x = 201,890.50
  5. Step 5: Solve for x
    x = 201,890.50/683.77
  6. Step 6: Final answer
    x = 295.26

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1.5x scale

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.