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Finding the Fourth Proportional to 1,092.81, 1,639.26 and 443.53

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Solution

The fourth proportional to 1,092.81, 1,639.26 and 443.53 is: 665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.81 : 1,639.26 = 443.53 : x
  2. Step 2: Convert to fraction form
    1,092.81/1,639.26 = 443.53/x
  3. Step 3: Cross multiply
    1,092.81x = 1,639.26 × 443.53
  4. Step 4: Simplify right side
    1,092.81x = 727,058.77
  5. Step 5: Solve for x
    x = 727,058.77/1,092.81
  6. Step 6: Final answer
    x = 665.31

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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.