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Finding the Fourth Proportional to 1,080.97, 1,611.17 and 1,019.46

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Solution

The fourth proportional to 1,080.97, 1,611.17 and 1,019.46 is: 1,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.97 : 1,611.17 = 1,019.46 : x
  2. Step 2: Convert to fraction form
    1,080.97/1,611.17 = 1,019.46/x
  3. Step 3: Cross multiply
    1,080.97x = 1,611.17 × 1,019.46
  4. Step 4: Simplify right side
    1,080.97x = 1,642,523.37
  5. Step 5: Solve for x
    x = 1,642,523.37/1,080.97
  6. Step 6: Final answer
    x = 1,519.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.