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Finding the Fourth Proportional to 1,643.96, 2,268.24 and 980.52

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Solution

The fourth proportional to 1,643.96, 2,268.24 and 980.52 is: 1,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.96 : 2,268.24 = 980.52 : x
  2. Step 2: Convert to fraction form
    1,643.96/2,268.24 = 980.52/x
  3. Step 3: Cross multiply
    1,643.96x = 2,268.24 × 980.52
  4. Step 4: Simplify right side
    1,643.96x = 2,224,054.68
  5. Step 5: Solve for x
    x = 2,224,054.68/1,643.96
  6. Step 6: Final answer
    x = 1,352.86

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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.