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Finding the Fourth Proportional to 902.63, 1,352.40 and 641.34

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Solution

The fourth proportional to 902.63, 1,352.40 and 641.34 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.63 : 1,352.40 = 641.34 : x
  2. Step 2: Convert to fraction form
    902.63/1,352.40 = 641.34/x
  3. Step 3: Cross multiply
    902.63x = 1,352.40 × 641.34
  4. Step 4: Simplify right side
    902.63x = 867,348.22
  5. Step 5: Solve for x
    x = 867,348.22/902.63
  6. Step 6: Final answer
    x = 960.91

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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.