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Finding the Fourth Proportional to 519.80, 780.23 and 334.94

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Solution

The fourth proportional to 519.80, 780.23 and 334.94 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 780.23 = 334.94 : x
  2. Step 2: Convert to fraction form
    519.80/780.23 = 334.94/x
  3. Step 3: Cross multiply
    519.80x = 780.23 × 334.94
  4. Step 4: Simplify right side
    519.80x = 261,327.17
  5. Step 5: Solve for x
    x = 261,327.17/519.80
  6. Step 6: Final answer
    x = 502.75

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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.