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Finding the Fourth Proportional to 857.25, 1,286.06 and 344.25

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Solution

The fourth proportional to 857.25, 1,286.06 and 344.25 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,286.06 = 344.25 : x
  2. Step 2: Convert to fraction form
    857.25/1,286.06 = 344.25/x
  3. Step 3: Cross multiply
    857.25x = 1,286.06 × 344.25
  4. Step 4: Simplify right side
    857.25x = 442,724.43
  5. Step 5: Solve for x
    x = 442,724.43/857.25
  6. Step 6: Final answer
    x = 516.45

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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.