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Finding the Fourth Proportional to 1,074.26, 1,611.02 and 511.33

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Solution

The fourth proportional to 1,074.26, 1,611.02 and 511.33 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.26 : 1,611.02 = 511.33 : x
  2. Step 2: Convert to fraction form
    1,074.26/1,611.02 = 511.33/x
  3. Step 3: Cross multiply
    1,074.26x = 1,611.02 × 511.33
  4. Step 4: Simplify right side
    1,074.26x = 823,763.13
  5. Step 5: Solve for x
    x = 823,763.13/1,074.26
  6. Step 6: Final answer
    x = 766.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.