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Finding the Fourth Proportional to 458.87, 629.37 and 426.06

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Solution

The fourth proportional to 458.87, 629.37 and 426.06 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.87 : 629.37 = 426.06 : x
  2. Step 2: Convert to fraction form
    458.87/629.37 = 426.06/x
  3. Step 3: Cross multiply
    458.87x = 629.37 × 426.06
  4. Step 4: Simplify right side
    458.87x = 268,149.38
  5. Step 5: Solve for x
    x = 268,149.38/458.87
  6. Step 6: Final answer
    x = 584.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.