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Finding the Fourth Proportional to 603.91, 905.66 and 421.39

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Solution

The fourth proportional to 603.91, 905.66 and 421.39 is: 631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.91 : 905.66 = 421.39 : x
  2. Step 2: Convert to fraction form
    603.91/905.66 = 421.39/x
  3. Step 3: Cross multiply
    603.91x = 905.66 × 421.39
  4. Step 4: Simplify right side
    603.91x = 381,636.07
  5. Step 5: Solve for x
    x = 381,636.07/603.91
  6. Step 6: Final answer
    x = 631.94

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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.