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Finding the Fourth Proportional to 519.99, 780.28 and 195.59

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Solution

The fourth proportional to 519.99, 780.28 and 195.59 is: 293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.99 : 780.28 = 195.59 : x
  2. Step 2: Convert to fraction form
    519.99/780.28 = 195.59/x
  3. Step 3: Cross multiply
    519.99x = 780.28 × 195.59
  4. Step 4: Simplify right side
    519.99x = 152,614.97
  5. Step 5: Solve for x
    x = 152,614.97/519.99
  6. Step 6: Final answer
    x = 293.50

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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.