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Finding the Fourth Proportional to 857.70, 1,286.88 and 447.11

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Solution

The fourth proportional to 857.70, 1,286.88 and 447.11 is: 670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,286.88 = 447.11 : x
  2. Step 2: Convert to fraction form
    857.70/1,286.88 = 447.11/x
  3. Step 3: Cross multiply
    857.70x = 1,286.88 × 447.11
  4. Step 4: Simplify right side
    857.70x = 575,370.48
  5. Step 5: Solve for x
    x = 575,370.48/857.70
  6. Step 6: Final answer
    x = 670.83

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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.