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Finding the Fourth Proportional to 444.29, 609.86 and 394.07

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Solution

The fourth proportional to 444.29, 609.86 and 394.07 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 609.86 = 394.07 : x
  2. Step 2: Convert to fraction form
    444.29/609.86 = 394.07/x
  3. Step 3: Cross multiply
    444.29x = 609.86 × 394.07
  4. Step 4: Simplify right side
    444.29x = 240,327.53
  5. Step 5: Solve for x
    x = 240,327.53/444.29
  6. Step 6: Final answer
    x = 540.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.