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Finding the Fourth Proportional to 629.96, 945.27 and 458.05

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Solution

The fourth proportional to 629.96, 945.27 and 458.05 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.96 : 945.27 = 458.05 : x
  2. Step 2: Convert to fraction form
    629.96/945.27 = 458.05/x
  3. Step 3: Cross multiply
    629.96x = 945.27 × 458.05
  4. Step 4: Simplify right side
    629.96x = 432,978.56
  5. Step 5: Solve for x
    x = 432,978.56/629.96
  6. Step 6: Final answer
    x = 687.31

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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.