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Finding the Fourth Proportional to 683.28, 942.99 and 496.71

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Solution

The fourth proportional to 683.28, 942.99 and 496.71 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 942.99 = 496.71 : x
  2. Step 2: Convert to fraction form
    683.28/942.99 = 496.71/x
  3. Step 3: Cross multiply
    683.28x = 942.99 × 496.71
  4. Step 4: Simplify right side
    683.28x = 468,392.56
  5. Step 5: Solve for x
    x = 468,392.56/683.28
  6. Step 6: Final answer
    x = 685.51

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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.