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Finding the Fourth Proportional to 474.73, 711.18 and 443.75

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Solution

The fourth proportional to 474.73, 711.18 and 443.75 is: 664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 711.18 = 443.75 : x
  2. Step 2: Convert to fraction form
    474.73/711.18 = 443.75/x
  3. Step 3: Cross multiply
    474.73x = 711.18 × 443.75
  4. Step 4: Simplify right side
    474.73x = 315,582.57
  5. Step 5: Solve for x
    x = 315,582.57/474.73
  6. Step 6: Final answer
    x = 664.77

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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.