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Finding the Fourth Proportional to 618.21, 926.82 and 309.89

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Solution

The fourth proportional to 618.21, 926.82 and 309.89 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.21 : 926.82 = 309.89 : x
  2. Step 2: Convert to fraction form
    618.21/926.82 = 309.89/x
  3. Step 3: Cross multiply
    618.21x = 926.82 × 309.89
  4. Step 4: Simplify right side
    618.21x = 287,210.70
  5. Step 5: Solve for x
    x = 287,210.70/618.21
  6. Step 6: Final answer
    x = 464.59

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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.