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Finding the Fourth Proportional to 905.48, 1,359.43 and 535.97

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Solution

The fourth proportional to 905.48, 1,359.43 and 535.97 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,359.43 = 535.97 : x
  2. Step 2: Convert to fraction form
    905.48/1,359.43 = 535.97/x
  3. Step 3: Cross multiply
    905.48x = 1,359.43 × 535.97
  4. Step 4: Simplify right side
    905.48x = 728,611.12
  5. Step 5: Solve for x
    x = 728,611.12/905.48
  6. Step 6: Final answer
    x = 804.67

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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.