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Finding the Fourth Proportional to 1,627.84, 2,245.62 and 998.16

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Solution

The fourth proportional to 1,627.84, 2,245.62 and 998.16 is: 1,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.84 : 2,245.62 = 998.16 : x
  2. Step 2: Convert to fraction form
    1,627.84/2,245.62 = 998.16/x
  3. Step 3: Cross multiply
    1,627.84x = 2,245.62 × 998.16
  4. Step 4: Simplify right side
    1,627.84x = 2,241,488.06
  5. Step 5: Solve for x
    x = 2,241,488.06/1,627.84
  6. Step 6: Final answer
    x = 1,376.97

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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.