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Finding the Fourth Proportional to 519.89, 779.91 and 259.90

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Solution

The fourth proportional to 519.89, 779.91 and 259.90 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 779.91 = 259.90 : x
  2. Step 2: Convert to fraction form
    519.89/779.91 = 259.90/x
  3. Step 3: Cross multiply
    519.89x = 779.91 × 259.90
  4. Step 4: Simplify right side
    519.89x = 202,696.66
  5. Step 5: Solve for x
    x = 202,696.66/519.89
  6. Step 6: Final answer
    x = 389.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.