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Finding the Fourth Proportional to 456.69, 629.78 and 290.61

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Solution

The fourth proportional to 456.69, 629.78 and 290.61 is: 400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 629.78 = 290.61 : x
  2. Step 2: Convert to fraction form
    456.69/629.78 = 290.61/x
  3. Step 3: Cross multiply
    456.69x = 629.78 × 290.61
  4. Step 4: Simplify right side
    456.69x = 183,018.91
  5. Step 5: Solve for x
    x = 183,018.91/456.69
  6. Step 6: Final answer
    x = 400.75

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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.