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Finding the Fourth Proportional to 778.36, 1,168.07 and 345.52

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Solution

The fourth proportional to 778.36, 1,168.07 and 345.52 is: 518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.36 : 1,168.07 = 345.52 : x
  2. Step 2: Convert to fraction form
    778.36/1,168.07 = 345.52/x
  3. Step 3: Cross multiply
    778.36x = 1,168.07 × 345.52
  4. Step 4: Simplify right side
    778.36x = 403,586.65
  5. Step 5: Solve for x
    x = 403,586.65/778.36
  6. Step 6: Final answer
    x = 518.51

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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.