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Finding the Fourth Proportional to 619.05, 926.63 and 344.26

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Solution

The fourth proportional to 619.05, 926.63 and 344.26 is: 515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.05 : 926.63 = 344.26 : x
  2. Step 2: Convert to fraction form
    619.05/926.63 = 344.26/x
  3. Step 3: Cross multiply
    619.05x = 926.63 × 344.26
  4. Step 4: Simplify right side
    619.05x = 319,001.64
  5. Step 5: Solve for x
    x = 319,001.64/619.05
  6. Step 6: Final answer
    x = 515.31

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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.