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Finding the Fourth Proportional to 857.99, 1,286.98 and 310.17

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Solution

The fourth proportional to 857.99, 1,286.98 and 310.17 is: 465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.99 : 1,286.98 = 310.17 : x
  2. Step 2: Convert to fraction form
    857.99/1,286.98 = 310.17/x
  3. Step 3: Cross multiply
    857.99x = 1,286.98 × 310.17
  4. Step 4: Simplify right side
    857.99x = 399,188.38
  5. Step 5: Solve for x
    x = 399,188.38/857.99
  6. Step 6: Final answer
    x = 465.26

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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.