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Finding the Fourth Proportional to 1,103.39, 1,653.94 and 445.26

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Solution

The fourth proportional to 1,103.39, 1,653.94 and 445.26 is: 667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.39 : 1,653.94 = 445.26 : x
  2. Step 2: Convert to fraction form
    1,103.39/1,653.94 = 445.26/x
  3. Step 3: Cross multiply
    1,103.39x = 1,653.94 × 445.26
  4. Step 4: Simplify right side
    1,103.39x = 736,437.58
  5. Step 5: Solve for x
    x = 736,437.58/1,103.39
  6. Step 6: Final answer
    x = 667.43

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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.