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Finding the Fourth Proportional to 477.45, 658.66 and 311.67

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Solution

The fourth proportional to 477.45, 658.66 and 311.67 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 658.66 = 311.67 : x
  2. Step 2: Convert to fraction form
    477.45/658.66 = 311.67/x
  3. Step 3: Cross multiply
    477.45x = 658.66 × 311.67
  4. Step 4: Simplify right side
    477.45x = 205,279.71
  5. Step 5: Solve for x
    x = 205,279.71/477.45
  6. Step 6: Final answer
    x = 429.95

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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.