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Finding the Fourth Proportional to 441.92, 661.52 and 416.28

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Solution

The fourth proportional to 441.92, 661.52 and 416.28 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 661.52 = 416.28 : x
  2. Step 2: Convert to fraction form
    441.92/661.52 = 416.28/x
  3. Step 3: Cross multiply
    441.92x = 661.52 × 416.28
  4. Step 4: Simplify right side
    441.92x = 275,377.55
  5. Step 5: Solve for x
    x = 275,377.55/441.92
  6. Step 6: Final answer
    x = 623.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.