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Finding the Fourth Proportional to 829.44, 1,243.89 and 335.67

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Solution

The fourth proportional to 829.44, 1,243.89 and 335.67 is: 503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,243.89 = 335.67 : x
  2. Step 2: Convert to fraction form
    829.44/1,243.89 = 335.67/x
  3. Step 3: Cross multiply
    829.44x = 1,243.89 × 335.67
  4. Step 4: Simplify right side
    829.44x = 417,536.56
  5. Step 5: Solve for x
    x = 417,536.56/829.44
  6. Step 6: Final answer
    x = 503.40

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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.