Home / 1,286.16-1,929.56-361.72

Finding the Fourth Proportional to 1,286.16, 1,929.56 and 361.72

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Solution

The fourth proportional to 1,286.16, 1,929.56 and 361.72 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.16 : 1,929.56 = 361.72 : x
  2. Step 2: Convert to fraction form
    1,286.16/1,929.56 = 361.72/x
  3. Step 3: Cross multiply
    1,286.16x = 1,929.56 × 361.72
  4. Step 4: Simplify right side
    1,286.16x = 697,960.44
  5. Step 5: Solve for x
    x = 697,960.44/1,286.16
  6. Step 6: Final answer
    x = 542.67

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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.