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Finding the Fourth Proportional to 619.65, 929.97 and 345.69

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Solution

The fourth proportional to 619.65, 929.97 and 345.69 is: 518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.65 : 929.97 = 345.69 : x
  2. Step 2: Convert to fraction form
    619.65/929.97 = 345.69/x
  3. Step 3: Cross multiply
    619.65x = 929.97 × 345.69
  4. Step 4: Simplify right side
    619.65x = 321,481.33
  5. Step 5: Solve for x
    x = 321,481.33/619.65
  6. Step 6: Final answer
    x = 518.81

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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.