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Finding the Fourth Proportional to 456.40, 629.40 and 382.60

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Solution

The fourth proportional to 456.40, 629.40 and 382.60 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 629.40 = 382.60 : x
  2. Step 2: Convert to fraction form
    456.40/629.40 = 382.60/x
  3. Step 3: Cross multiply
    456.40x = 629.40 × 382.60
  4. Step 4: Simplify right side
    456.40x = 240,808.44
  5. Step 5: Solve for x
    x = 240,808.44/456.40
  6. Step 6: Final answer
    x = 527.63

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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.