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Finding the Fourth Proportional to 857.11, 1,283.20 and 768.07

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Solution

The fourth proportional to 857.11, 1,283.20 and 768.07 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.11 : 1,283.20 = 768.07 : x
  2. Step 2: Convert to fraction form
    857.11/1,283.20 = 768.07/x
  3. Step 3: Cross multiply
    857.11x = 1,283.20 × 768.07
  4. Step 4: Simplify right side
    857.11x = 985,577.17
  5. Step 5: Solve for x
    x = 985,577.17/857.11
  6. Step 6: Final answer
    x = 1,149.89

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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.