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Finding the Fourth Proportional to 479.45, 660.99 and 409.22

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Solution

The fourth proportional to 479.45, 660.99 and 409.22 is: 564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.45 : 660.99 = 409.22 : x
  2. Step 2: Convert to fraction form
    479.45/660.99 = 409.22/x
  3. Step 3: Cross multiply
    479.45x = 660.99 × 409.22
  4. Step 4: Simplify right side
    479.45x = 270,491.04
  5. Step 5: Solve for x
    x = 270,491.04/479.45
  6. Step 6: Final answer
    x = 564.17

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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.