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Finding the Fourth Proportional to 1,204, 1,796.68 and 1,074.40

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Solution

The fourth proportional to 1,204, 1,796.68 and 1,074.40 is: 1,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204 : 1,796.68 = 1,074.40 : x
  2. Step 2: Convert to fraction form
    1,204/1,796.68 = 1,074.40/x
  3. Step 3: Cross multiply
    1,204x = 1,796.68 × 1,074.40
  4. Step 4: Simplify right side
    1,204x = 1,930,352.99
  5. Step 5: Solve for x
    x = 1,930,352.99/1,204
  6. Step 6: Final answer
    x = 1,603.28

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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.