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Finding the Fourth Proportional to 659.53, 911.42 and 593.92

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Solution

The fourth proportional to 659.53, 911.42 and 593.92 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.53 : 911.42 = 593.92 : x
  2. Step 2: Convert to fraction form
    659.53/911.42 = 593.92/x
  3. Step 3: Cross multiply
    659.53x = 911.42 × 593.92
  4. Step 4: Simplify right side
    659.53x = 541,310.57
  5. Step 5: Solve for x
    x = 541,310.57/659.53
  6. Step 6: Final answer
    x = 820.75

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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.