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Finding the Fourth Proportional to 456.96, 629.12 and 378.40

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Solution

The fourth proportional to 456.96, 629.12 and 378.40 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 629.12 = 378.40 : x
  2. Step 2: Convert to fraction form
    456.96/629.12 = 378.40/x
  3. Step 3: Cross multiply
    456.96x = 629.12 × 378.40
  4. Step 4: Simplify right side
    456.96x = 238,059.01
  5. Step 5: Solve for x
    x = 238,059.01/456.96
  6. Step 6: Final answer
    x = 520.96

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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.