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Finding the Fourth Proportional to 857.66, 1,286.01 and 272.55

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Solution

The fourth proportional to 857.66, 1,286.01 and 272.55 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,286.01 = 272.55 : x
  2. Step 2: Convert to fraction form
    857.66/1,286.01 = 272.55/x
  3. Step 3: Cross multiply
    857.66x = 1,286.01 × 272.55
  4. Step 4: Simplify right side
    857.66x = 350,500.66
  5. Step 5: Solve for x
    x = 350,500.66/857.66
  6. Step 6: Final answer
    x = 408.67

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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.