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Finding the Fourth Proportional to 603.22, 905.10 and 418.40

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Solution

The fourth proportional to 603.22, 905.10 and 418.40 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.22 : 905.10 = 418.40 : x
  2. Step 2: Convert to fraction form
    603.22/905.10 = 418.40/x
  3. Step 3: Cross multiply
    603.22x = 905.10 × 418.40
  4. Step 4: Simplify right side
    603.22x = 378,693.84
  5. Step 5: Solve for x
    x = 378,693.84/603.22
  6. Step 6: Final answer
    x = 627.79

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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.