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Finding the Fourth Proportional to 519.69, 780.07 and 259.88

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Solution

The fourth proportional to 519.69, 780.07 and 259.88 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 780.07 = 259.88 : x
  2. Step 2: Convert to fraction form
    519.69/780.07 = 259.88/x
  3. Step 3: Cross multiply
    519.69x = 780.07 × 259.88
  4. Step 4: Simplify right side
    519.69x = 202,723.45
  5. Step 5: Solve for x
    x = 202,723.45/519.69
  6. Step 6: Final answer
    x = 390.08

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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.