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Finding the Fourth Proportional to 984.94, 1,478.25 and 523.04

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Solution

The fourth proportional to 984.94, 1,478.25 and 523.04 is: 785.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,478.25 = 523.04 : x
  2. Step 2: Convert to fraction form
    984.94/1,478.25 = 523.04/x
  3. Step 3: Cross multiply
    984.94x = 1,478.25 × 523.04
  4. Step 4: Simplify right side
    984.94x = 773,183.88
  5. Step 5: Solve for x
    x = 773,183.88/984.94
  6. Step 6: Final answer
    x = 785.01

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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.