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Finding the Fourth Proportional to 518.83, 778.25 and 390.44

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Solution

The fourth proportional to 518.83, 778.25 and 390.44 is: 585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.83 : 778.25 = 390.44 : x
  2. Step 2: Convert to fraction form
    518.83/778.25 = 390.44/x
  3. Step 3: Cross multiply
    518.83x = 778.25 × 390.44
  4. Step 4: Simplify right side
    518.83x = 303,859.93
  5. Step 5: Solve for x
    x = 303,859.93/518.83
  6. Step 6: Final answer
    x = 585.66

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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.