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Finding the Fourth Proportional to 419.57, 629.21 and 175.97

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Solution

The fourth proportional to 419.57, 629.21 and 175.97 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 629.21 = 175.97 : x
  2. Step 2: Convert to fraction form
    419.57/629.21 = 175.97/x
  3. Step 3: Cross multiply
    419.57x = 629.21 × 175.97
  4. Step 4: Simplify right side
    419.57x = 110,718.06
  5. Step 5: Solve for x
    x = 110,718.06/419.57
  6. Step 6: Final answer
    x = 263.89

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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.