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Finding the Fourth Proportional to 477.63, 658.67 and 311.97

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Solution

The fourth proportional to 477.63, 658.67 and 311.97 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 658.67 = 311.97 : x
  2. Step 2: Convert to fraction form
    477.63/658.67 = 311.97/x
  3. Step 3: Cross multiply
    477.63x = 658.67 × 311.97
  4. Step 4: Simplify right side
    477.63x = 205,485.28
  5. Step 5: Solve for x
    x = 205,485.28/477.63
  6. Step 6: Final answer
    x = 430.22

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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.