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Finding the Fourth Proportional to 1,627.85, 2,246.49 and 919.85

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Solution

The fourth proportional to 1,627.85, 2,246.49 and 919.85 is: 1,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.85 : 2,246.49 = 919.85 : x
  2. Step 2: Convert to fraction form
    1,627.85/2,246.49 = 919.85/x
  3. Step 3: Cross multiply
    1,627.85x = 2,246.49 × 919.85
  4. Step 4: Simplify right side
    1,627.85x = 2,066,422.59
  5. Step 5: Solve for x
    x = 2,066,422.59/1,627.85
  6. Step 6: Final answer
    x = 1,269.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.