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Finding the Fourth Proportional to 457.20, 635.04 and 443.52

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Solution

The fourth proportional to 457.20, 635.04 and 443.52 is: 616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.20 : 635.04 = 443.52 : x
  2. Step 2: Convert to fraction form
    457.20/635.04 = 443.52/x
  3. Step 3: Cross multiply
    457.20x = 635.04 × 443.52
  4. Step 4: Simplify right side
    457.20x = 281,652.94
  5. Step 5: Solve for x
    x = 281,652.94/457.20
  6. Step 6: Final answer
    x = 616.04

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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.