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Finding the Fourth Proportional to 443.64, 660.78 and 441.24

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Solution

The fourth proportional to 443.64, 660.78 and 441.24 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 660.78 = 441.24 : x
  2. Step 2: Convert to fraction form
    443.64/660.78 = 441.24/x
  3. Step 3: Cross multiply
    443.64x = 660.78 × 441.24
  4. Step 4: Simplify right side
    443.64x = 291,562.57
  5. Step 5: Solve for x
    x = 291,562.57/443.64
  6. Step 6: Final answer
    x = 657.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.