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Finding the Fourth Proportional to 857.67, 1,286.46 and 310.20

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Solution

The fourth proportional to 857.67, 1,286.46 and 310.20 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,286.46 = 310.20 : x
  2. Step 2: Convert to fraction form
    857.67/1,286.46 = 310.20/x
  3. Step 3: Cross multiply
    857.67x = 1,286.46 × 310.20
  4. Step 4: Simplify right side
    857.67x = 399,059.89
  5. Step 5: Solve for x
    x = 399,059.89/857.67
  6. Step 6: Final answer
    x = 465.28

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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.