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Finding the Fourth Proportional to 658.14, 992.21 and 622.86

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Solution

The fourth proportional to 658.14, 992.21 and 622.86 is: 939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 992.21 = 622.86 : x
  2. Step 2: Convert to fraction form
    658.14/992.21 = 622.86/x
  3. Step 3: Cross multiply
    658.14x = 992.21 × 622.86
  4. Step 4: Simplify right side
    658.14x = 618,004.81
  5. Step 5: Solve for x
    x = 618,004.81/658.14
  6. Step 6: Final answer
    x = 939.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.