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Finding the Fourth Proportional to 1,648.22, 2,274.62 and 902.26

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Solution

The fourth proportional to 1,648.22, 2,274.62 and 902.26 is: 1,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.22 : 2,274.62 = 902.26 : x
  2. Step 2: Convert to fraction form
    1,648.22/2,274.62 = 902.26/x
  3. Step 3: Cross multiply
    1,648.22x = 2,274.62 × 902.26
  4. Step 4: Simplify right side
    1,648.22x = 2,052,298.64
  5. Step 5: Solve for x
    x = 2,052,298.64/1,648.22
  6. Step 6: Final answer
    x = 1,245.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.