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Finding the Fourth Proportional to 1,267.31, 1,900.73 and 445.57

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Solution

The fourth proportional to 1,267.31, 1,900.73 and 445.57 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.31 : 1,900.73 = 445.57 : x
  2. Step 2: Convert to fraction form
    1,267.31/1,900.73 = 445.57/x
  3. Step 3: Cross multiply
    1,267.31x = 1,900.73 × 445.57
  4. Step 4: Simplify right side
    1,267.31x = 846,904.63
  5. Step 5: Solve for x
    x = 846,904.63/1,267.31
  6. Step 6: Final answer
    x = 668.27

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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.