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Finding the Fourth Proportional to 1,205.63, 1,809.11 and 1,196.45

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Solution

The fourth proportional to 1,205.63, 1,809.11 and 1,196.45 is: 1,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.63 : 1,809.11 = 1,196.45 : x
  2. Step 2: Convert to fraction form
    1,205.63/1,809.11 = 1,196.45/x
  3. Step 3: Cross multiply
    1,205.63x = 1,809.11 × 1,196.45
  4. Step 4: Simplify right side
    1,205.63x = 2,164,503.61
  5. Step 5: Solve for x
    x = 2,164,503.61/1,205.63
  6. Step 6: Final answer
    x = 1,795.34

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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.