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Finding the Fourth Proportional to 471.97, 708.56 and 255.70

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Solution

The fourth proportional to 471.97, 708.56 and 255.70 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 708.56 = 255.70 : x
  2. Step 2: Convert to fraction form
    471.97/708.56 = 255.70/x
  3. Step 3: Cross multiply
    471.97x = 708.56 × 255.70
  4. Step 4: Simplify right side
    471.97x = 181,176.38
  5. Step 5: Solve for x
    x = 181,176.38/471.97
  6. Step 6: Final answer
    x = 383.87

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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.