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Finding the Fourth Proportional to 465.14, 693.44 and 443.27

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Solution

The fourth proportional to 465.14, 693.44 and 443.27 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 693.44 = 443.27 : x
  2. Step 2: Convert to fraction form
    465.14/693.44 = 443.27/x
  3. Step 3: Cross multiply
    465.14x = 693.44 × 443.27
  4. Step 4: Simplify right side
    465.14x = 307,381.08
  5. Step 5: Solve for x
    x = 307,381.08/465.14
  6. Step 6: Final answer
    x = 660.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.