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Finding the Fourth Proportional to 458.48, 635.98 and 441.20

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Solution

The fourth proportional to 458.48, 635.98 and 441.20 is: 612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 635.98 = 441.20 : x
  2. Step 2: Convert to fraction form
    458.48/635.98 = 441.20/x
  3. Step 3: Cross multiply
    458.48x = 635.98 × 441.20
  4. Step 4: Simplify right side
    458.48x = 280,594.38
  5. Step 5: Solve for x
    x = 280,594.38/458.48
  6. Step 6: Final answer
    x = 612.01

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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.