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Finding the Fourth Proportional to 659.07, 908.82 and 422.55

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Solution

The fourth proportional to 659.07, 908.82 and 422.55 is: 582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.07 : 908.82 = 422.55 : x
  2. Step 2: Convert to fraction form
    659.07/908.82 = 422.55/x
  3. Step 3: Cross multiply
    659.07x = 908.82 × 422.55
  4. Step 4: Simplify right side
    659.07x = 384,021.89
  5. Step 5: Solve for x
    x = 384,021.89/659.07
  6. Step 6: Final answer
    x = 582.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.