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Finding the Fourth Proportional to 440.91, 664.68 and 411.18

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Solution

The fourth proportional to 440.91, 664.68 and 411.18 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 664.68 = 411.18 : x
  2. Step 2: Convert to fraction form
    440.91/664.68 = 411.18/x
  3. Step 3: Cross multiply
    440.91x = 664.68 × 411.18
  4. Step 4: Simplify right side
    440.91x = 273,303.60
  5. Step 5: Solve for x
    x = 273,303.60/440.91
  6. Step 6: Final answer
    x = 619.86

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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.