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Finding the Fourth Proportional to 440.91, 663.80 and 381.38

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Solution

The fourth proportional to 440.91, 663.80 and 381.38 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 663.80 = 381.38 : x
  2. Step 2: Convert to fraction form
    440.91/663.80 = 381.38/x
  3. Step 3: Cross multiply
    440.91x = 663.80 × 381.38
  4. Step 4: Simplify right side
    440.91x = 253,154.82
  5. Step 5: Solve for x
    x = 253,154.82/440.91
  6. Step 6: Final answer
    x = 574.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.