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Finding the Fourth Proportional to 519.94, 780.36 and 337.42

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Solution

The fourth proportional to 519.94, 780.36 and 337.42 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 780.36 = 337.42 : x
  2. Step 2: Convert to fraction form
    519.94/780.36 = 337.42/x
  3. Step 3: Cross multiply
    519.94x = 780.36 × 337.42
  4. Step 4: Simplify right side
    519.94x = 263,309.07
  5. Step 5: Solve for x
    x = 263,309.07/519.94
  6. Step 6: Final answer
    x = 506.42

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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.