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Finding the Fourth Proportional to 828.89, 1,243.33 and 212.59

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Solution

The fourth proportional to 828.89, 1,243.33 and 212.59 is: 318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.89 : 1,243.33 = 212.59 : x
  2. Step 2: Convert to fraction form
    828.89/1,243.33 = 212.59/x
  3. Step 3: Cross multiply
    828.89x = 1,243.33 × 212.59
  4. Step 4: Simplify right side
    828.89x = 264,325.00
  5. Step 5: Solve for x
    x = 264,325.00/828.89
  6. Step 6: Final answer
    x = 318.89

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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.