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Finding the Fourth Proportional to 661.73, 992.81 and 415.08

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Solution

The fourth proportional to 661.73, 992.81 and 415.08 is: 622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.73 : 992.81 = 415.08 : x
  2. Step 2: Convert to fraction form
    661.73/992.81 = 415.08/x
  3. Step 3: Cross multiply
    661.73x = 992.81 × 415.08
  4. Step 4: Simplify right side
    661.73x = 412,093.50
  5. Step 5: Solve for x
    x = 412,093.50/661.73
  6. Step 6: Final answer
    x = 622.76

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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.