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Finding the Fourth Proportional to 778.64, 1,168.68 and 760.82

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Solution

The fourth proportional to 778.64, 1,168.68 and 760.82 is: 1,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.64 : 1,168.68 = 760.82 : x
  2. Step 2: Convert to fraction form
    778.64/1,168.68 = 760.82/x
  3. Step 3: Cross multiply
    778.64x = 1,168.68 × 760.82
  4. Step 4: Simplify right side
    778.64x = 889,149.27
  5. Step 5: Solve for x
    x = 889,149.27/778.64
  6. Step 6: Final answer
    x = 1,141.93

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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.