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Finding the Fourth Proportional to 456.09, 629.69 and 409.38

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Solution

The fourth proportional to 456.09, 629.69 and 409.38 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.09 : 629.69 = 409.38 : x
  2. Step 2: Convert to fraction form
    456.09/629.69 = 409.38/x
  3. Step 3: Cross multiply
    456.09x = 629.69 × 409.38
  4. Step 4: Simplify right side
    456.09x = 257,780.45
  5. Step 5: Solve for x
    x = 257,780.45/456.09
  6. Step 6: Final answer
    x = 565.20

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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.