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Finding the Fourth Proportional to 1,630.62, 2,250.28 and 884.60

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Solution

The fourth proportional to 1,630.62, 2,250.28 and 884.60 is: 1,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.62 : 2,250.28 = 884.60 : x
  2. Step 2: Convert to fraction form
    1,630.62/2,250.28 = 884.60/x
  3. Step 3: Cross multiply
    1,630.62x = 2,250.28 × 884.60
  4. Step 4: Simplify right side
    1,630.62x = 1,990,597.69
  5. Step 5: Solve for x
    x = 1,990,597.69/1,630.62
  6. Step 6: Final answer
    x = 1,220.76

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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.