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Finding the Fourth Proportional to 456.68, 629.16 and 316.28

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Solution

The fourth proportional to 456.68, 629.16 and 316.28 is: 435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 629.16 = 316.28 : x
  2. Step 2: Convert to fraction form
    456.68/629.16 = 316.28/x
  3. Step 3: Cross multiply
    456.68x = 629.16 × 316.28
  4. Step 4: Simplify right side
    456.68x = 198,990.72
  5. Step 5: Solve for x
    x = 198,990.72/456.68
  6. Step 6: Final answer
    x = 435.73

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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.