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Finding the Fourth Proportional to 1,267.67, 1,902.36 and 445.95

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Solution

The fourth proportional to 1,267.67, 1,902.36 and 445.95 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.67 : 1,902.36 = 445.95 : x
  2. Step 2: Convert to fraction form
    1,267.67/1,902.36 = 445.95/x
  3. Step 3: Cross multiply
    1,267.67x = 1,902.36 × 445.95
  4. Step 4: Simplify right side
    1,267.67x = 848,357.44
  5. Step 5: Solve for x
    x = 848,357.44/1,267.67
  6. Step 6: Final answer
    x = 669.22

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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.