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Finding the Fourth Proportional to 998.10, 1,378.01 and 683.89

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Solution

The fourth proportional to 998.10, 1,378.01 and 683.89 is: 944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 1,378.01 = 683.89 : x
  2. Step 2: Convert to fraction form
    998.10/1,378.01 = 683.89/x
  3. Step 3: Cross multiply
    998.10x = 1,378.01 × 683.89
  4. Step 4: Simplify right side
    998.10x = 942,407.26
  5. Step 5: Solve for x
    x = 942,407.26/998.10
  6. Step 6: Final answer
    x = 944.20

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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.