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Finding the Fourth Proportional to 762.92, 1,144.20 and 300.54

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Solution

The fourth proportional to 762.92, 1,144.20 and 300.54 is: 450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.92 : 1,144.20 = 300.54 : x
  2. Step 2: Convert to fraction form
    762.92/1,144.20 = 300.54/x
  3. Step 3: Cross multiply
    762.92x = 1,144.20 × 300.54
  4. Step 4: Simplify right side
    762.92x = 343,877.87
  5. Step 5: Solve for x
    x = 343,877.87/762.92
  6. Step 6: Final answer
    x = 450.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.