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Finding the Fourth Proportional to 1,883.58, 2,825.50 and 650.96

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Solution

The fourth proportional to 1,883.58, 2,825.50 and 650.96 is: 976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.58 : 2,825.50 = 650.96 : x
  2. Step 2: Convert to fraction form
    1,883.58/2,825.50 = 650.96/x
  3. Step 3: Cross multiply
    1,883.58x = 2,825.50 × 650.96
  4. Step 4: Simplify right side
    1,883.58x = 1,839,287.48
  5. Step 5: Solve for x
    x = 1,839,287.48/1,883.58
  6. Step 6: Final answer
    x = 976.48

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1.5x scale

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.