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Finding the Fourth Proportional to 1,627.76, 2,246.19 and 998.03

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Solution

The fourth proportional to 1,627.76, 2,246.19 and 998.03 is: 1,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.76 : 2,246.19 = 998.03 : x
  2. Step 2: Convert to fraction form
    1,627.76/2,246.19 = 998.03/x
  3. Step 3: Cross multiply
    1,627.76x = 2,246.19 × 998.03
  4. Step 4: Simplify right side
    1,627.76x = 2,241,765.01
  5. Step 5: Solve for x
    x = 2,241,765.01/1,627.76
  6. Step 6: Final answer
    x = 1,377.21

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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.