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Finding the Fourth Proportional to 944.50, 1,415.38 and 828.67

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Solution

The fourth proportional to 944.50, 1,415.38 and 828.67 is: 1,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.50 : 1,415.38 = 828.67 : x
  2. Step 2: Convert to fraction form
    944.50/1,415.38 = 828.67/x
  3. Step 3: Cross multiply
    944.50x = 1,415.38 × 828.67
  4. Step 4: Simplify right side
    944.50x = 1,172,882.94
  5. Step 5: Solve for x
    x = 1,172,882.94/944.50
  6. Step 6: Final answer
    x = 1,241.80

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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.