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Finding the Fourth Proportional to 683.96, 949.43 and 640.76

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Solution

The fourth proportional to 683.96, 949.43 and 640.76 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.96 : 949.43 = 640.76 : x
  2. Step 2: Convert to fraction form
    683.96/949.43 = 640.76/x
  3. Step 3: Cross multiply
    683.96x = 949.43 × 640.76
  4. Step 4: Simplify right side
    683.96x = 608,356.77
  5. Step 5: Solve for x
    x = 608,356.77/683.96
  6. Step 6: Final answer
    x = 889.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.