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Finding the Fourth Proportional to 902.50, 1,353.74 and 325.37

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Solution

The fourth proportional to 902.50, 1,353.74 and 325.37 is: 488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,353.74 = 325.37 : x
  2. Step 2: Convert to fraction form
    902.50/1,353.74 = 325.37/x
  3. Step 3: Cross multiply
    902.50x = 1,353.74 × 325.37
  4. Step 4: Simplify right side
    902.50x = 440,469.21
  5. Step 5: Solve for x
    x = 440,469.21/902.50
  6. Step 6: Final answer
    x = 488.06

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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.