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Finding the Fourth Proportional to 629.51, 942.71 and 446.04

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Solution

The fourth proportional to 629.51, 942.71 and 446.04 is: 667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 942.71 = 446.04 : x
  2. Step 2: Convert to fraction form
    629.51/942.71 = 446.04/x
  3. Step 3: Cross multiply
    629.51x = 942.71 × 446.04
  4. Step 4: Simplify right side
    629.51x = 420,484.14
  5. Step 5: Solve for x
    x = 420,484.14/629.51
  6. Step 6: Final answer
    x = 667.96

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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.