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Finding the Fourth Proportional to 442.19, 664.45 and 415.96

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Solution

The fourth proportional to 442.19, 664.45 and 415.96 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.19 : 664.45 = 415.96 : x
  2. Step 2: Convert to fraction form
    442.19/664.45 = 415.96/x
  3. Step 3: Cross multiply
    442.19x = 664.45 × 415.96
  4. Step 4: Simplify right side
    442.19x = 276,381.92
  5. Step 5: Solve for x
    x = 276,381.92/442.19
  6. Step 6: Final answer
    x = 625.03

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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.