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Finding the Fourth Proportional to 2,289.40, 3,434.34 and 902.54

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Solution

The fourth proportional to 2,289.40, 3,434.34 and 902.54 is: 1,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.40 : 3,434.34 = 902.54 : x
  2. Step 2: Convert to fraction form
    2,289.40/3,434.34 = 902.54/x
  3. Step 3: Cross multiply
    2,289.40x = 3,434.34 × 902.54
  4. Step 4: Simplify right side
    2,289.40x = 3,099,629.22
  5. Step 5: Solve for x
    x = 3,099,629.22/2,289.40
  6. Step 6: Final answer
    x = 1,353.90

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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.