Home / 1,161.46-1,742.20-295.78

Finding the Fourth Proportional to 1,161.46, 1,742.20 and 295.78

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Solution

The fourth proportional to 1,161.46, 1,742.20 and 295.78 is: 443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.46 : 1,742.20 = 295.78 : x
  2. Step 2: Convert to fraction form
    1,161.46/1,742.20 = 295.78/x
  3. Step 3: Cross multiply
    1,161.46x = 1,742.20 × 295.78
  4. Step 4: Simplify right side
    1,161.46x = 515,307.92
  5. Step 5: Solve for x
    x = 515,307.92/1,161.46
  6. Step 6: Final answer
    x = 443.67

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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.