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Finding the Fourth Proportional to 457.92, 635.06 and 441.52

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Solution

The fourth proportional to 457.92, 635.06 and 441.52 is: 612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 635.06 = 441.52 : x
  2. Step 2: Convert to fraction form
    457.92/635.06 = 441.52/x
  3. Step 3: Cross multiply
    457.92x = 635.06 × 441.52
  4. Step 4: Simplify right side
    457.92x = 280,388.72
  5. Step 5: Solve for x
    x = 280,388.72/457.92
  6. Step 6: Final answer
    x = 612.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.