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Finding the Fourth Proportional to 1,191.88, 1,643.22 and 798.28

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Solution

The fourth proportional to 1,191.88, 1,643.22 and 798.28 is: 1,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,643.22 = 798.28 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,643.22 = 798.28/x
  3. Step 3: Cross multiply
    1,191.88x = 1,643.22 × 798.28
  4. Step 4: Simplify right side
    1,191.88x = 1,311,749.66
  5. Step 5: Solve for x
    x = 1,311,749.66/1,191.88
  6. Step 6: Final answer
    x = 1,100.57

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Double scale
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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.