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Finding the Fourth Proportional to 1,630.38, 2,249.88 and 884.33

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Solution

The fourth proportional to 1,630.38, 2,249.88 and 884.33 is: 1,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.38 : 2,249.88 = 884.33 : x
  2. Step 2: Convert to fraction form
    1,630.38/2,249.88 = 884.33/x
  3. Step 3: Cross multiply
    1,630.38x = 2,249.88 × 884.33
  4. Step 4: Simplify right side
    1,630.38x = 1,989,625.13
  5. Step 5: Solve for x
    x = 1,989,625.13/1,630.38
  6. Step 6: Final answer
    x = 1,220.34

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1.5x scale

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.