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Finding the Fourth Proportional to 604.22, 903.54 and 448.34

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Solution

The fourth proportional to 604.22, 903.54 and 448.34 is: 670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.22 : 903.54 = 448.34 : x
  2. Step 2: Convert to fraction form
    604.22/903.54 = 448.34/x
  3. Step 3: Cross multiply
    604.22x = 903.54 × 448.34
  4. Step 4: Simplify right side
    604.22x = 405,093.12
  5. Step 5: Solve for x
    x = 405,093.12/604.22
  6. Step 6: Final answer
    x = 670.44

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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.