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Finding the Fourth Proportional to 998.84, 1,378 and 683.60

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Solution

The fourth proportional to 998.84, 1,378 and 683.60 is: 943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.84 : 1,378 = 683.60 : x
  2. Step 2: Convert to fraction form
    998.84/1,378 = 683.60/x
  3. Step 3: Cross multiply
    998.84x = 1,378 × 683.60
  4. Step 4: Simplify right side
    998.84x = 942,000.80
  5. Step 5: Solve for x
    x = 942,000.80/998.84
  6. Step 6: Final answer
    x = 943.09

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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.