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Finding the Fourth Proportional to 604.20, 905.64 and 279.76

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Solution

The fourth proportional to 604.20, 905.64 and 279.76 is: 419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 905.64 = 279.76 : x
  2. Step 2: Convert to fraction form
    604.20/905.64 = 279.76/x
  3. Step 3: Cross multiply
    604.20x = 905.64 × 279.76
  4. Step 4: Simplify right side
    604.20x = 253,361.85
  5. Step 5: Solve for x
    x = 253,361.85/604.20
  6. Step 6: Final answer
    x = 419.33

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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.