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Finding the Fourth Proportional to 631.96, 945.88 and 446.96

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Solution

The fourth proportional to 631.96, 945.88 and 446.96 is: 668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.96 : 945.88 = 446.96 : x
  2. Step 2: Convert to fraction form
    631.96/945.88 = 446.96/x
  3. Step 3: Cross multiply
    631.96x = 945.88 × 446.96
  4. Step 4: Simplify right side
    631.96x = 422,770.52
  5. Step 5: Solve for x
    x = 422,770.52/631.96
  6. Step 6: Final answer
    x = 668.98

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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.