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Finding the Fourth Proportional to 612.92, 918.69 and 323.78

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Solution

The fourth proportional to 612.92, 918.69 and 323.78 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.92 : 918.69 = 323.78 : x
  2. Step 2: Convert to fraction form
    612.92/918.69 = 323.78/x
  3. Step 3: Cross multiply
    612.92x = 918.69 × 323.78
  4. Step 4: Simplify right side
    612.92x = 297,453.45
  5. Step 5: Solve for x
    x = 297,453.45/612.92
  6. Step 6: Final answer
    x = 485.31

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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.