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Finding the Fourth Proportional to 905.89, 1,357.62 and 798.97

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Solution

The fourth proportional to 905.89, 1,357.62 and 798.97 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.89 : 1,357.62 = 798.97 : x
  2. Step 2: Convert to fraction form
    905.89/1,357.62 = 798.97/x
  3. Step 3: Cross multiply
    905.89x = 1,357.62 × 798.97
  4. Step 4: Simplify right side
    905.89x = 1,084,697.65
  5. Step 5: Solve for x
    x = 1,084,697.65/905.89
  6. Step 6: Final answer
    x = 1,197.38

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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.