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Finding the Fourth Proportional to 762.21, 1,142.46 and 299.75

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Solution

The fourth proportional to 762.21, 1,142.46 and 299.75 is: 449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.21 : 1,142.46 = 299.75 : x
  2. Step 2: Convert to fraction form
    762.21/1,142.46 = 299.75/x
  3. Step 3: Cross multiply
    762.21x = 1,142.46 × 299.75
  4. Step 4: Simplify right side
    762.21x = 342,446.67
  5. Step 5: Solve for x
    x = 342,446.67/762.21
  6. Step 6: Final answer
    x = 449.28

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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.