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Finding the Fourth Proportional to 463.00, 638.08 and 379.62

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Solution

The fourth proportional to 463.00, 638.08 and 379.62 is: 523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.00 : 638.08 = 379.62 : x
  2. Step 2: Convert to fraction form
    463.00/638.08 = 379.62/x
  3. Step 3: Cross multiply
    463.00x = 638.08 × 379.62
  4. Step 4: Simplify right side
    463.00x = 242,232.07
  5. Step 5: Solve for x
    x = 242,232.07/463.00
  6. Step 6: Final answer
    x = 523.18

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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.