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Finding the Fourth Proportional to 446.78, 673.51 and 417.04

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Solution

The fourth proportional to 446.78, 673.51 and 417.04 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.78 : 673.51 = 417.04 : x
  2. Step 2: Convert to fraction form
    446.78/673.51 = 417.04/x
  3. Step 3: Cross multiply
    446.78x = 673.51 × 417.04
  4. Step 4: Simplify right side
    446.78x = 280,881.97
  5. Step 5: Solve for x
    x = 280,881.97/446.78
  6. Step 6: Final answer
    x = 628.69

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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.