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Finding the Fourth Proportional to 603.99, 908.07 and 422.14

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Solution

The fourth proportional to 603.99, 908.07 and 422.14 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.99 : 908.07 = 422.14 : x
  2. Step 2: Convert to fraction form
    603.99/908.07 = 422.14/x
  3. Step 3: Cross multiply
    603.99x = 908.07 × 422.14
  4. Step 4: Simplify right side
    603.99x = 383,332.67
  5. Step 5: Solve for x
    x = 383,332.67/603.99
  6. Step 6: Final answer
    x = 634.67

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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.