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Finding the Fourth Proportional to 860.04, 1,286.86 and 513.56

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Solution

The fourth proportional to 860.04, 1,286.86 and 513.56 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.04 : 1,286.86 = 513.56 : x
  2. Step 2: Convert to fraction form
    860.04/1,286.86 = 513.56/x
  3. Step 3: Cross multiply
    860.04x = 1,286.86 × 513.56
  4. Step 4: Simplify right side
    860.04x = 660,879.82
  5. Step 5: Solve for x
    x = 660,879.82/860.04
  6. Step 6: Final answer
    x = 768.43

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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.