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Finding the Fourth Proportional to 905.84, 1,359.44 and 662.99

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Solution

The fourth proportional to 905.84, 1,359.44 and 662.99 is: 994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,359.44 = 662.99 : x
  2. Step 2: Convert to fraction form
    905.84/1,359.44 = 662.99/x
  3. Step 3: Cross multiply
    905.84x = 1,359.44 × 662.99
  4. Step 4: Simplify right side
    905.84x = 901,288.33
  5. Step 5: Solve for x
    x = 901,288.33/905.84
  6. Step 6: Final answer
    x = 994.98

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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.