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Finding the Fourth Proportional to 456.45, 625.79 and 448.25

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Solution

The fourth proportional to 456.45, 625.79 and 448.25 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 625.79 = 448.25 : x
  2. Step 2: Convert to fraction form
    456.45/625.79 = 448.25/x
  3. Step 3: Cross multiply
    456.45x = 625.79 × 448.25
  4. Step 4: Simplify right side
    456.45x = 280,507.24
  5. Step 5: Solve for x
    x = 280,507.24/456.45
  6. Step 6: Final answer
    x = 614.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.