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Finding the Fourth Proportional to 612.73, 918.59 and 427.09

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Solution

The fourth proportional to 612.73, 918.59 and 427.09 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.73 : 918.59 = 427.09 : x
  2. Step 2: Convert to fraction form
    612.73/918.59 = 427.09/x
  3. Step 3: Cross multiply
    612.73x = 918.59 × 427.09
  4. Step 4: Simplify right side
    612.73x = 392,321.68
  5. Step 5: Solve for x
    x = 392,321.68/612.73
  6. Step 6: Final answer
    x = 640.28

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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.