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Finding the Fourth Proportional to 604.77, 905.02 and 418.77

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Solution

The fourth proportional to 604.77, 905.02 and 418.77 is: 626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.77 : 905.02 = 418.77 : x
  2. Step 2: Convert to fraction form
    604.77/905.02 = 418.77/x
  3. Step 3: Cross multiply
    604.77x = 905.02 × 418.77
  4. Step 4: Simplify right side
    604.77x = 378,996.53
  5. Step 5: Solve for x
    x = 378,996.53/604.77
  6. Step 6: Final answer
    x = 626.68

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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.