Home / 1,186.16-1,778.99-320.27

Finding the Fourth Proportional to 1,186.16, 1,778.99 and 320.27

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Solution

The fourth proportional to 1,186.16, 1,778.99 and 320.27 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.16 : 1,778.99 = 320.27 : x
  2. Step 2: Convert to fraction form
    1,186.16/1,778.99 = 320.27/x
  3. Step 3: Cross multiply
    1,186.16x = 1,778.99 × 320.27
  4. Step 4: Simplify right side
    1,186.16x = 569,749.03
  5. Step 5: Solve for x
    x = 569,749.03/1,186.16
  6. Step 6: Final answer
    x = 480.33

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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.