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Finding the Fourth Proportional to 603.45, 905.04 and 278.74

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Solution

The fourth proportional to 603.45, 905.04 and 278.74 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 905.04 = 278.74 : x
  2. Step 2: Convert to fraction form
    603.45/905.04 = 278.74/x
  3. Step 3: Cross multiply
    603.45x = 905.04 × 278.74
  4. Step 4: Simplify right side
    603.45x = 252,270.85
  5. Step 5: Solve for x
    x = 252,270.85/603.45
  6. Step 6: Final answer
    x = 418.05

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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.