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Finding the Fourth Proportional to 519.91, 780.21 and 231.34

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Solution

The fourth proportional to 519.91, 780.21 and 231.34 is: 347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.91 : 780.21 = 231.34 : x
  2. Step 2: Convert to fraction form
    519.91/780.21 = 231.34/x
  3. Step 3: Cross multiply
    519.91x = 780.21 × 231.34
  4. Step 4: Simplify right side
    519.91x = 180,493.78
  5. Step 5: Solve for x
    x = 180,493.78/519.91
  6. Step 6: Final answer
    x = 347.16

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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.