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Finding the Fourth Proportional to 788.20, 1,095.79 and 788.20

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Solution

The fourth proportional to 788.20, 1,095.79 and 788.20 is: 1,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.20 : 1,095.79 = 788.20 : x
  2. Step 2: Convert to fraction form
    788.20/1,095.79 = 788.20/x
  3. Step 3: Cross multiply
    788.20x = 1,095.79 × 788.20
  4. Step 4: Simplify right side
    788.20x = 863,701.68
  5. Step 5: Solve for x
    x = 863,701.68/788.20
  6. Step 6: Final answer
    x = 1,095.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.