Home / 1,205.06-1,659.56-1,106.64

Finding the Fourth Proportional to 1,205.06, 1,659.56 and 1,106.64

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Solution

The fourth proportional to 1,205.06, 1,659.56 and 1,106.64 is: 1,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.06 : 1,659.56 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    1,205.06/1,659.56 = 1,106.64/x
  3. Step 3: Cross multiply
    1,205.06x = 1,659.56 × 1,106.64
  4. Step 4: Simplify right side
    1,205.06x = 1,836,529.95
  5. Step 5: Solve for x
    x = 1,836,529.95/1,205.06
  6. Step 6: Final answer
    x = 1,524.02

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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.