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Finding the Fourth Proportional to 796.54, 1,095.96 and 778.14

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Solution

The fourth proportional to 796.54, 1,095.96 and 778.14 is: 1,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.54 : 1,095.96 = 778.14 : x
  2. Step 2: Convert to fraction form
    796.54/1,095.96 = 778.14/x
  3. Step 3: Cross multiply
    796.54x = 1,095.96 × 778.14
  4. Step 4: Simplify right side
    796.54x = 852,810.31
  5. Step 5: Solve for x
    x = 852,810.31/796.54
  6. Step 6: Final answer
    x = 1,070.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.