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Finding the Fourth Proportional to 519.40, 780.18 and 411.94

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Solution

The fourth proportional to 519.40, 780.18 and 411.94 is: 618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 780.18 = 411.94 : x
  2. Step 2: Convert to fraction form
    519.40/780.18 = 411.94/x
  3. Step 3: Cross multiply
    519.40x = 780.18 × 411.94
  4. Step 4: Simplify right side
    519.40x = 321,387.35
  5. Step 5: Solve for x
    x = 321,387.35/519.40
  6. Step 6: Final answer
    x = 618.77

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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.