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Finding the Fourth Proportional to 451.92, 624.72 and 365.04

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Solution

The fourth proportional to 451.92, 624.72 and 365.04 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 624.72 = 365.04 : x
  2. Step 2: Convert to fraction form
    451.92/624.72 = 365.04/x
  3. Step 3: Cross multiply
    451.92x = 624.72 × 365.04
  4. Step 4: Simplify right side
    451.92x = 228,047.79
  5. Step 5: Solve for x
    x = 228,047.79/451.92
  6. Step 6: Final answer
    x = 504.62

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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.