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Finding the Fourth Proportional to 625.48, 863.53 and 448.81

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Solution

The fourth proportional to 625.48, 863.53 and 448.81 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.48 : 863.53 = 448.81 : x
  2. Step 2: Convert to fraction form
    625.48/863.53 = 448.81/x
  3. Step 3: Cross multiply
    625.48x = 863.53 × 448.81
  4. Step 4: Simplify right side
    625.48x = 387,557.62
  5. Step 5: Solve for x
    x = 387,557.62/625.48
  6. Step 6: Final answer
    x = 619.62

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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.