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Finding the Fourth Proportional to 618.19, 926.56 and 343.80

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Solution

The fourth proportional to 618.19, 926.56 and 343.80 is: 515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.19 : 926.56 = 343.80 : x
  2. Step 2: Convert to fraction form
    618.19/926.56 = 343.80/x
  3. Step 3: Cross multiply
    618.19x = 926.56 × 343.80
  4. Step 4: Simplify right side
    618.19x = 318,551.33
  5. Step 5: Solve for x
    x = 318,551.33/618.19
  6. Step 6: Final answer
    x = 515.30

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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.