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Finding the Fourth Proportional to 518.48, 778.04 and 194.07

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Solution

The fourth proportional to 518.48, 778.04 and 194.07 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.48 : 778.04 = 194.07 : x
  2. Step 2: Convert to fraction form
    518.48/778.04 = 194.07/x
  3. Step 3: Cross multiply
    518.48x = 778.04 × 194.07
  4. Step 4: Simplify right side
    518.48x = 150,993.25
  5. Step 5: Solve for x
    x = 150,993.25/518.48
  6. Step 6: Final answer
    x = 291.23

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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.