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Finding the Fourth Proportional to 448.92, 618.84 and 324.36

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Solution

The fourth proportional to 448.92, 618.84 and 324.36 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 618.84 = 324.36 : x
  2. Step 2: Convert to fraction form
    448.92/618.84 = 324.36/x
  3. Step 3: Cross multiply
    448.92x = 618.84 × 324.36
  4. Step 4: Simplify right side
    448.92x = 200,726.94
  5. Step 5: Solve for x
    x = 200,726.94/448.92
  6. Step 6: Final answer
    x = 447.13

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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.