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Finding the Fourth Proportional to 519.94, 780.18 and 231.31

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Solution

The fourth proportional to 519.94, 780.18 and 231.31 is: 347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 780.18 = 231.31 : x
  2. Step 2: Convert to fraction form
    519.94/780.18 = 231.31/x
  3. Step 3: Cross multiply
    519.94x = 780.18 × 231.31
  4. Step 4: Simplify right side
    519.94x = 180,463.44
  5. Step 5: Solve for x
    x = 180,463.44/519.94
  6. Step 6: Final answer
    x = 347.09

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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.