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Finding the Fourth Proportional to 857.79, 1,286.38 and 302.35

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Solution

The fourth proportional to 857.79, 1,286.38 and 302.35 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.79 : 1,286.38 = 302.35 : x
  2. Step 2: Convert to fraction form
    857.79/1,286.38 = 302.35/x
  3. Step 3: Cross multiply
    857.79x = 1,286.38 × 302.35
  4. Step 4: Simplify right side
    857.79x = 388,936.99
  5. Step 5: Solve for x
    x = 388,936.99/857.79
  6. Step 6: Final answer
    x = 453.42

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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.