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Finding the Fourth Proportional to 788.14, 1,186.78 and 584.15

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Solution

The fourth proportional to 788.14, 1,186.78 and 584.15 is: 879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.14 : 1,186.78 = 584.15 : x
  2. Step 2: Convert to fraction form
    788.14/1,186.78 = 584.15/x
  3. Step 3: Cross multiply
    788.14x = 1,186.78 × 584.15
  4. Step 4: Simplify right side
    788.14x = 693,257.54
  5. Step 5: Solve for x
    x = 693,257.54/788.14
  6. Step 6: Final answer
    x = 879.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.