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Finding the Fourth Proportional to 1,180.06, 1,771.49 and 785.07

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Solution

The fourth proportional to 1,180.06, 1,771.49 and 785.07 is: 1,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.06 : 1,771.49 = 785.07 : x
  2. Step 2: Convert to fraction form
    1,180.06/1,771.49 = 785.07/x
  3. Step 3: Cross multiply
    1,180.06x = 1,771.49 × 785.07
  4. Step 4: Simplify right side
    1,180.06x = 1,390,745.62
  5. Step 5: Solve for x
    x = 1,390,745.62/1,180.06
  6. Step 6: Final answer
    x = 1,178.54

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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.