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Finding the Fourth Proportional to 519.58, 779.43 and 259.66

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Solution

The fourth proportional to 519.58, 779.43 and 259.66 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.58 : 779.43 = 259.66 : x
  2. Step 2: Convert to fraction form
    519.58/779.43 = 259.66/x
  3. Step 3: Cross multiply
    519.58x = 779.43 × 259.66
  4. Step 4: Simplify right side
    519.58x = 202,386.79
  5. Step 5: Solve for x
    x = 202,386.79/519.58
  6. Step 6: Final answer
    x = 389.52

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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.