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Finding the Fourth Proportional to 939.06, 1,401.70 and 828.22

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Solution

The fourth proportional to 939.06, 1,401.70 and 828.22 is: 1,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.06 : 1,401.70 = 828.22 : x
  2. Step 2: Convert to fraction form
    939.06/1,401.70 = 828.22/x
  3. Step 3: Cross multiply
    939.06x = 1,401.70 × 828.22
  4. Step 4: Simplify right side
    939.06x = 1,160,911.80
  5. Step 5: Solve for x
    x = 1,160,911.80/939.06
  6. Step 6: Final answer
    x = 1,236.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.