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Finding the Fourth Proportional to 683, 941.82 and 449.72

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Solution

The fourth proportional to 683, 941.82 and 449.72 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 941.82 = 449.72 : x
  2. Step 2: Convert to fraction form
    683/941.82 = 449.72/x
  3. Step 3: Cross multiply
    683x = 941.82 × 449.72
  4. Step 4: Simplify right side
    683x = 423,555.29
  5. Step 5: Solve for x
    x = 423,555.29/683
  6. Step 6: Final answer
    x = 620.14

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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.