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Finding the Fourth Proportional to 519.20, 774.03 and 478.09

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Solution

The fourth proportional to 519.20, 774.03 and 478.09 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.20 : 774.03 = 478.09 : x
  2. Step 2: Convert to fraction form
    519.20/774.03 = 478.09/x
  3. Step 3: Cross multiply
    519.20x = 774.03 × 478.09
  4. Step 4: Simplify right side
    519.20x = 370,056.00
  5. Step 5: Solve for x
    x = 370,056.00/519.20
  6. Step 6: Final answer
    x = 712.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.