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Finding the Fourth Proportional to 446.53, 673.76 and 446.53

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Solution

The fourth proportional to 446.53, 673.76 and 446.53 is: 673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.53 : 673.76 = 446.53 : x
  2. Step 2: Convert to fraction form
    446.53/673.76 = 446.53/x
  3. Step 3: Cross multiply
    446.53x = 673.76 × 446.53
  4. Step 4: Simplify right side
    446.53x = 300,854.05
  5. Step 5: Solve for x
    x = 300,854.05/446.53
  6. Step 6: Final answer
    x = 673.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.