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Finding the Fourth Proportional to 1,186.85, 1,779.26 and 839.09

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Solution

The fourth proportional to 1,186.85, 1,779.26 and 839.09 is: 1,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.85 : 1,779.26 = 839.09 : x
  2. Step 2: Convert to fraction form
    1,186.85/1,779.26 = 839.09/x
  3. Step 3: Cross multiply
    1,186.85x = 1,779.26 × 839.09
  4. Step 4: Simplify right side
    1,186.85x = 1,492,959.27
  5. Step 5: Solve for x
    x = 1,492,959.27/1,186.85
  6. Step 6: Final answer
    x = 1,257.92

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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.