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Finding the Fourth Proportional to 1,085.69, 1,625.80 and 941.49

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Solution

The fourth proportional to 1,085.69, 1,625.80 and 941.49 is: 1,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.69 : 1,625.80 = 941.49 : x
  2. Step 2: Convert to fraction form
    1,085.69/1,625.80 = 941.49/x
  3. Step 3: Cross multiply
    1,085.69x = 1,625.80 × 941.49
  4. Step 4: Simplify right side
    1,085.69x = 1,530,674.44
  5. Step 5: Solve for x
    x = 1,530,674.44/1,085.69
  6. Step 6: Final answer
    x = 1,409.86

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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.