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Finding the Fourth Proportional to 1,189.69, 1,782.41 and 837.95

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Solution

The fourth proportional to 1,189.69, 1,782.41 and 837.95 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.69 : 1,782.41 = 837.95 : x
  2. Step 2: Convert to fraction form
    1,189.69/1,782.41 = 837.95/x
  3. Step 3: Cross multiply
    1,189.69x = 1,782.41 × 837.95
  4. Step 4: Simplify right side
    1,189.69x = 1,493,557.36
  5. Step 5: Solve for x
    x = 1,493,557.36/1,189.69
  6. Step 6: Final answer
    x = 1,255.42

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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.