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Finding the Fourth Proportional to 456.33, 629.73 and 259.84

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Solution

The fourth proportional to 456.33, 629.73 and 259.84 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 629.73 = 259.84 : x
  2. Step 2: Convert to fraction form
    456.33/629.73 = 259.84/x
  3. Step 3: Cross multiply
    456.33x = 629.73 × 259.84
  4. Step 4: Simplify right side
    456.33x = 163,629.04
  5. Step 5: Solve for x
    x = 163,629.04/456.33
  6. Step 6: Final answer
    x = 358.58

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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.