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Finding the Fourth Proportional to 661.73, 993.68 and 277.25

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Solution

The fourth proportional to 661.73, 993.68 and 277.25 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.73 : 993.68 = 277.25 : x
  2. Step 2: Convert to fraction form
    661.73/993.68 = 277.25/x
  3. Step 3: Cross multiply
    661.73x = 993.68 × 277.25
  4. Step 4: Simplify right side
    661.73x = 275,496.39
  5. Step 5: Solve for x
    x = 275,496.39/661.73
  6. Step 6: Final answer
    x = 416.33

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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.