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Finding the Fourth Proportional to 519.67, 779.55 and 259.93

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Solution

The fourth proportional to 519.67, 779.55 and 259.93 is: 389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 779.55 = 259.93 : x
  2. Step 2: Convert to fraction form
    519.67/779.55 = 259.93/x
  3. Step 3: Cross multiply
    519.67x = 779.55 × 259.93
  4. Step 4: Simplify right side
    519.67x = 202,628.43
  5. Step 5: Solve for x
    x = 202,628.43/519.67
  6. Step 6: Final answer
    x = 389.92

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Double scale
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1.5x scale

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.