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Finding the Fourth Proportional to 1,205.96, 1,798.38 and 1,195.01

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Solution

The fourth proportional to 1,205.96, 1,798.38 and 1,195.01 is: 1,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.96 : 1,798.38 = 1,195.01 : x
  2. Step 2: Convert to fraction form
    1,205.96/1,798.38 = 1,195.01/x
  3. Step 3: Cross multiply
    1,205.96x = 1,798.38 × 1,195.01
  4. Step 4: Simplify right side
    1,205.96x = 2,149,076.11
  5. Step 5: Solve for x
    x = 2,149,076.11/1,205.96
  6. Step 6: Final answer
    x = 1,782.05

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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.