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Finding the Fourth Proportional to 446.33, 671.12 and 410.69

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Solution

The fourth proportional to 446.33, 671.12 and 410.69 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.33 : 671.12 = 410.69 : x
  2. Step 2: Convert to fraction form
    446.33/671.12 = 410.69/x
  3. Step 3: Cross multiply
    446.33x = 671.12 × 410.69
  4. Step 4: Simplify right side
    446.33x = 275,622.27
  5. Step 5: Solve for x
    x = 275,622.27/446.33
  6. Step 6: Final answer
    x = 617.53

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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.