Home / 1,186.10-1,778.87-320.48

Finding the Fourth Proportional to 1,186.10, 1,778.87 and 320.48

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Solution

The fourth proportional to 1,186.10, 1,778.87 and 320.48 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.10 : 1,778.87 = 320.48 : x
  2. Step 2: Convert to fraction form
    1,186.10/1,778.87 = 320.48/x
  3. Step 3: Cross multiply
    1,186.10x = 1,778.87 × 320.48
  4. Step 4: Simplify right side
    1,186.10x = 570,081.76
  5. Step 5: Solve for x
    x = 570,081.76/1,186.10
  6. Step 6: Final answer
    x = 480.64

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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.