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Finding the Fourth Proportional to 457.11, 629.36 and 415.54

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Solution

The fourth proportional to 457.11, 629.36 and 415.54 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 629.36 = 415.54 : x
  2. Step 2: Convert to fraction form
    457.11/629.36 = 415.54/x
  3. Step 3: Cross multiply
    457.11x = 629.36 × 415.54
  4. Step 4: Simplify right side
    457.11x = 261,524.25
  5. Step 5: Solve for x
    x = 261,524.25/457.11
  6. Step 6: Final answer
    x = 572.13

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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.