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Finding the Fourth Proportional to 459.24, 629.98 and 453.09

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Solution

The fourth proportional to 459.24, 629.98 and 453.09 is: 621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 629.98 = 453.09 : x
  2. Step 2: Convert to fraction form
    459.24/629.98 = 453.09/x
  3. Step 3: Cross multiply
    459.24x = 629.98 × 453.09
  4. Step 4: Simplify right side
    459.24x = 285,438.87
  5. Step 5: Solve for x
    x = 285,438.87/459.24
  6. Step 6: Final answer
    x = 621.55

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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.