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Finding the Fourth Proportional to 902.50, 1,353.84 and 325.60

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Solution

The fourth proportional to 902.50, 1,353.84 and 325.60 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,353.84 = 325.60 : x
  2. Step 2: Convert to fraction form
    902.50/1,353.84 = 325.60/x
  3. Step 3: Cross multiply
    902.50x = 1,353.84 × 325.60
  4. Step 4: Simplify right side
    902.50x = 440,810.30
  5. Step 5: Solve for x
    x = 440,810.30/902.50
  6. Step 6: Final answer
    x = 488.43

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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.