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Finding the Fourth Proportional to 905.54, 1,352.54 and 818.73

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Solution

The fourth proportional to 905.54, 1,352.54 and 818.73 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.54 : 1,352.54 = 818.73 : x
  2. Step 2: Convert to fraction form
    905.54/1,352.54 = 818.73/x
  3. Step 3: Cross multiply
    905.54x = 1,352.54 × 818.73
  4. Step 4: Simplify right side
    905.54x = 1,107,367.12
  5. Step 5: Solve for x
    x = 1,107,367.12/905.54
  6. Step 6: Final answer
    x = 1,222.89

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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.