Home / 1,161.80-1,738.96-613.20

Finding the Fourth Proportional to 1,161.80, 1,738.96 and 613.20

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Solution

The fourth proportional to 1,161.80, 1,738.96 and 613.20 is: 917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.80 : 1,738.96 = 613.20 : x
  2. Step 2: Convert to fraction form
    1,161.80/1,738.96 = 613.20/x
  3. Step 3: Cross multiply
    1,161.80x = 1,738.96 × 613.20
  4. Step 4: Simplify right side
    1,161.80x = 1,066,330.27
  5. Step 5: Solve for x
    x = 1,066,330.27/1,161.80
  6. Step 6: Final answer
    x = 917.83

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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.