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Finding the Fourth Proportional to 445.50, 664.20 and 417.96

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Solution

The fourth proportional to 445.50, 664.20 and 417.96 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 664.20 = 417.96 : x
  2. Step 2: Convert to fraction form
    445.50/664.20 = 417.96/x
  3. Step 3: Cross multiply
    445.50x = 664.20 × 417.96
  4. Step 4: Simplify right side
    445.50x = 277,609.03
  5. Step 5: Solve for x
    x = 277,609.03/445.50
  6. Step 6: Final answer
    x = 623.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.