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Finding the Fourth Proportional to 857.45, 1,286.48 and 363.98

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Solution

The fourth proportional to 857.45, 1,286.48 and 363.98 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.45 : 1,286.48 = 363.98 : x
  2. Step 2: Convert to fraction form
    857.45/1,286.48 = 363.98/x
  3. Step 3: Cross multiply
    857.45x = 1,286.48 × 363.98
  4. Step 4: Simplify right side
    857.45x = 468,257.12
  5. Step 5: Solve for x
    x = 468,257.12/857.45
  6. Step 6: Final answer
    x = 546.10

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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.