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Finding the Fourth Proportional to 1,643.90, 2,268.53 and 980.41

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Solution

The fourth proportional to 1,643.90, 2,268.53 and 980.41 is: 1,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.90 : 2,268.53 = 980.41 : x
  2. Step 2: Convert to fraction form
    1,643.90/2,268.53 = 980.41/x
  3. Step 3: Cross multiply
    1,643.90x = 2,268.53 × 980.41
  4. Step 4: Simplify right side
    1,643.90x = 2,224,089.50
  5. Step 5: Solve for x
    x = 2,224,089.50/1,643.90
  6. Step 6: Final answer
    x = 1,352.93

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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.