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Finding the Fourth Proportional to 604.44, 905.76 and 421.92

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Solution

The fourth proportional to 604.44, 905.76 and 421.92 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.44 : 905.76 = 421.92 : x
  2. Step 2: Convert to fraction form
    604.44/905.76 = 421.92/x
  3. Step 3: Cross multiply
    604.44x = 905.76 × 421.92
  4. Step 4: Simplify right side
    604.44x = 382,158.26
  5. Step 5: Solve for x
    x = 382,158.26/604.44
  6. Step 6: Final answer
    x = 632.25

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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.