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Finding the Fourth Proportional to 458.72, 636.22 and 443.16

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Solution

The fourth proportional to 458.72, 636.22 and 443.16 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 636.22 = 443.16 : x
  2. Step 2: Convert to fraction form
    458.72/636.22 = 443.16/x
  3. Step 3: Cross multiply
    458.72x = 636.22 × 443.16
  4. Step 4: Simplify right side
    458.72x = 281,947.26
  5. Step 5: Solve for x
    x = 281,947.26/458.72
  6. Step 6: Final answer
    x = 614.64

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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.