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Finding the Fourth Proportional to 519.33, 778.58 and 259.20

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Solution

The fourth proportional to 519.33, 778.58 and 259.20 is: 388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 778.58 = 259.20 : x
  2. Step 2: Convert to fraction form
    519.33/778.58 = 259.20/x
  3. Step 3: Cross multiply
    519.33x = 778.58 × 259.20
  4. Step 4: Simplify right side
    519.33x = 201,807.03
  5. Step 5: Solve for x
    x = 201,807.03/519.33
  6. Step 6: Final answer
    x = 388.59

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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.