Home / 1,222.36-1,685.91-828.70

Finding the Fourth Proportional to 1,222.36, 1,685.91 and 828.70

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Solution

The fourth proportional to 1,222.36, 1,685.91 and 828.70 is: 1,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.36 : 1,685.91 = 828.70 : x
  2. Step 2: Convert to fraction form
    1,222.36/1,685.91 = 828.70/x
  3. Step 3: Cross multiply
    1,222.36x = 1,685.91 × 828.70
  4. Step 4: Simplify right side
    1,222.36x = 1,397,113.62
  5. Step 5: Solve for x
    x = 1,397,113.62/1,222.36
  6. Step 6: Final answer
    x = 1,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.