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Finding the Fourth Proportional to 479.20, 660.75 and 409.13

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Solution

The fourth proportional to 479.20, 660.75 and 409.13 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.20 : 660.75 = 409.13 : x
  2. Step 2: Convert to fraction form
    479.20/660.75 = 409.13/x
  3. Step 3: Cross multiply
    479.20x = 660.75 × 409.13
  4. Step 4: Simplify right side
    479.20x = 270,332.77
  5. Step 5: Solve for x
    x = 270,332.77/479.20
  6. Step 6: Final answer
    x = 564.14

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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.