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Finding the Fourth Proportional to 456.72, 629.28 and 340.08

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Solution

The fourth proportional to 456.72, 629.28 and 340.08 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 629.28 = 340.08 : x
  2. Step 2: Convert to fraction form
    456.72/629.28 = 340.08/x
  3. Step 3: Cross multiply
    456.72x = 629.28 × 340.08
  4. Step 4: Simplify right side
    456.72x = 214,005.54
  5. Step 5: Solve for x
    x = 214,005.54/456.72
  6. Step 6: Final answer
    x = 468.57

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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.