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Finding the Fourth Proportional to 477.69, 658.78 and 311.85

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Solution

The fourth proportional to 477.69, 658.78 and 311.85 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 658.78 = 311.85 : x
  2. Step 2: Convert to fraction form
    477.69/658.78 = 311.85/x
  3. Step 3: Cross multiply
    477.69x = 658.78 × 311.85
  4. Step 4: Simplify right side
    477.69x = 205,440.54
  5. Step 5: Solve for x
    x = 205,440.54/477.69
  6. Step 6: Final answer
    x = 430.07

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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.