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Finding the Fourth Proportional to 619.20, 928.83 and 345.09

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Solution

The fourth proportional to 619.20, 928.83 and 345.09 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 928.83 = 345.09 : x
  2. Step 2: Convert to fraction form
    619.20/928.83 = 345.09/x
  3. Step 3: Cross multiply
    619.20x = 928.83 × 345.09
  4. Step 4: Simplify right side
    619.20x = 320,524.44
  5. Step 5: Solve for x
    x = 320,524.44/619.20
  6. Step 6: Final answer
    x = 517.64

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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.