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Finding the Fourth Proportional to 1,205.79, 1,813.14 and 1,162.05

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Solution

The fourth proportional to 1,205.79, 1,813.14 and 1,162.05 is: 1,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.79 : 1,813.14 = 1,162.05 : x
  2. Step 2: Convert to fraction form
    1,205.79/1,813.14 = 1,162.05/x
  3. Step 3: Cross multiply
    1,205.79x = 1,813.14 × 1,162.05
  4. Step 4: Simplify right side
    1,205.79x = 2,106,959.34
  5. Step 5: Solve for x
    x = 2,106,959.34/1,205.79
  6. Step 6: Final answer
    x = 1,747.37

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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.