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Finding the Fourth Proportional to 619.27, 929.07 and 345.56

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Solution

The fourth proportional to 619.27, 929.07 and 345.56 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.27 : 929.07 = 345.56 : x
  2. Step 2: Convert to fraction form
    619.27/929.07 = 345.56/x
  3. Step 3: Cross multiply
    619.27x = 929.07 × 345.56
  4. Step 4: Simplify right side
    619.27x = 321,044.78
  5. Step 5: Solve for x
    x = 321,044.78/619.27
  6. Step 6: Final answer
    x = 518.43

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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.