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Finding the Fourth Proportional to 451.92, 622.08 and 396.40

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Solution

The fourth proportional to 451.92, 622.08 and 396.40 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 622.08 = 396.40 : x
  2. Step 2: Convert to fraction form
    451.92/622.08 = 396.40/x
  3. Step 3: Cross multiply
    451.92x = 622.08 × 396.40
  4. Step 4: Simplify right side
    451.92x = 246,592.51
  5. Step 5: Solve for x
    x = 246,592.51/451.92
  6. Step 6: Final answer
    x = 545.66

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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.