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Finding the Fourth Proportional to 1,086.30, 1,629.04 and 857.88

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Solution

The fourth proportional to 1,086.30, 1,629.04 and 857.88 is: 1,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.30 : 1,629.04 = 857.88 : x
  2. Step 2: Convert to fraction form
    1,086.30/1,629.04 = 857.88/x
  3. Step 3: Cross multiply
    1,086.30x = 1,629.04 × 857.88
  4. Step 4: Simplify right side
    1,086.30x = 1,397,520.84
  5. Step 5: Solve for x
    x = 1,397,520.84/1,086.30
  6. Step 6: Final answer
    x = 1,286.50

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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.