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Finding the Fourth Proportional to 683.62, 944.54 and 659.02

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Solution

The fourth proportional to 683.62, 944.54 and 659.02 is: 910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.62 : 944.54 = 659.02 : x
  2. Step 2: Convert to fraction form
    683.62/944.54 = 659.02/x
  3. Step 3: Cross multiply
    683.62x = 944.54 × 659.02
  4. Step 4: Simplify right side
    683.62x = 622,470.75
  5. Step 5: Solve for x
    x = 622,470.75/683.62
  6. Step 6: Final answer
    x = 910.55

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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.