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Finding the Fourth Proportional to 456.85, 629.77 and 316.75

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Solution

The fourth proportional to 456.85, 629.77 and 316.75 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.85 : 629.77 = 316.75 : x
  2. Step 2: Convert to fraction form
    456.85/629.77 = 316.75/x
  3. Step 3: Cross multiply
    456.85x = 629.77 × 316.75
  4. Step 4: Simplify right side
    456.85x = 199,479.65
  5. Step 5: Solve for x
    x = 199,479.65/456.85
  6. Step 6: Final answer
    x = 436.64

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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.