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Finding the Fourth Proportional to 683.80, 944.47 and 679.00

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Solution

The fourth proportional to 683.80, 944.47 and 679.00 is: 937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.80 : 944.47 = 679.00 : x
  2. Step 2: Convert to fraction form
    683.80/944.47 = 679.00/x
  3. Step 3: Cross multiply
    683.80x = 944.47 × 679.00
  4. Step 4: Simplify right side
    683.80x = 641,290.41
  5. Step 5: Solve for x
    x = 641,290.41/683.80
  6. Step 6: Final answer
    x = 937.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.