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Finding the Fourth Proportional to 455.85, 629.64 and 373.97

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Solution

The fourth proportional to 455.85, 629.64 and 373.97 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 629.64 = 373.97 : x
  2. Step 2: Convert to fraction form
    455.85/629.64 = 373.97/x
  3. Step 3: Cross multiply
    455.85x = 629.64 × 373.97
  4. Step 4: Simplify right side
    455.85x = 235,468.04
  5. Step 5: Solve for x
    x = 235,468.04/455.85
  6. Step 6: Final answer
    x = 516.55

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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.