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Finding the Fourth Proportional to 902.69, 1,353.83 and 415.26

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Solution

The fourth proportional to 902.69, 1,353.83 and 415.26 is: 622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.69 : 1,353.83 = 415.26 : x
  2. Step 2: Convert to fraction form
    902.69/1,353.83 = 415.26/x
  3. Step 3: Cross multiply
    902.69x = 1,353.83 × 415.26
  4. Step 4: Simplify right side
    902.69x = 562,189.37
  5. Step 5: Solve for x
    x = 562,189.37/902.69
  6. Step 6: Final answer
    x = 622.80

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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.