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Finding the Fourth Proportional to 857.63, 1,286.31 and 310.07

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Solution

The fourth proportional to 857.63, 1,286.31 and 310.07 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.63 : 1,286.31 = 310.07 : x
  2. Step 2: Convert to fraction form
    857.63/1,286.31 = 310.07/x
  3. Step 3: Cross multiply
    857.63x = 1,286.31 × 310.07
  4. Step 4: Simplify right side
    857.63x = 398,846.14
  5. Step 5: Solve for x
    x = 398,846.14/857.63
  6. Step 6: Final answer
    x = 465.06

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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.