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Finding the Fourth Proportional to 470.68, 650.46 and 381.99

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Solution

The fourth proportional to 470.68, 650.46 and 381.99 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 650.46 = 381.99 : x
  2. Step 2: Convert to fraction form
    470.68/650.46 = 381.99/x
  3. Step 3: Cross multiply
    470.68x = 650.46 × 381.99
  4. Step 4: Simplify right side
    470.68x = 248,469.22
  5. Step 5: Solve for x
    x = 248,469.22/470.68
  6. Step 6: Final answer
    x = 527.89

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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.