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Finding the Fourth Proportional to 477.93, 716.61 and 169.73

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Solution

The fourth proportional to 477.93, 716.61 and 169.73 is: 254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 716.61 = 169.73 : x
  2. Step 2: Convert to fraction form
    477.93/716.61 = 169.73/x
  3. Step 3: Cross multiply
    477.93x = 716.61 × 169.73
  4. Step 4: Simplify right side
    477.93x = 121,629.96
  5. Step 5: Solve for x
    x = 121,629.96/477.93
  6. Step 6: Final answer
    x = 254.49

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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.