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Finding the Fourth Proportional to 1,643.74, 2,268.09 and 980.38

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Solution

The fourth proportional to 1,643.74, 2,268.09 and 980.38 is: 1,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.74 : 2,268.09 = 980.38 : x
  2. Step 2: Convert to fraction form
    1,643.74/2,268.09 = 980.38/x
  3. Step 3: Cross multiply
    1,643.74x = 2,268.09 × 980.38
  4. Step 4: Simplify right side
    1,643.74x = 2,223,590.07
  5. Step 5: Solve for x
    x = 2,223,590.07/1,643.74
  6. Step 6: Final answer
    x = 1,352.76

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1.5x scale

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.