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Finding the Fourth Proportional to 479.24, 659.97 and 457.37

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Solution

The fourth proportional to 479.24, 659.97 and 457.37 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.24 : 659.97 = 457.37 : x
  2. Step 2: Convert to fraction form
    479.24/659.97 = 457.37/x
  3. Step 3: Cross multiply
    479.24x = 659.97 × 457.37
  4. Step 4: Simplify right side
    479.24x = 301,850.48
  5. Step 5: Solve for x
    x = 301,850.48/479.24
  6. Step 6: Final answer
    x = 629.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.