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Finding the Fourth Proportional to 471.97, 708.27 and 179.74

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Solution

The fourth proportional to 471.97, 708.27 and 179.74 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 708.27 = 179.74 : x
  2. Step 2: Convert to fraction form
    471.97/708.27 = 179.74/x
  3. Step 3: Cross multiply
    471.97x = 708.27 × 179.74
  4. Step 4: Simplify right side
    471.97x = 127,300.01
  5. Step 5: Solve for x
    x = 127,300.01/471.97
  6. Step 6: Final answer
    x = 269.72

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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.