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Finding the Fourth Proportional to 762.28, 1,142.69 and 299.91

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Solution

The fourth proportional to 762.28, 1,142.69 and 299.91 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.28 : 1,142.69 = 299.91 : x
  2. Step 2: Convert to fraction form
    762.28/1,142.69 = 299.91/x
  3. Step 3: Cross multiply
    762.28x = 1,142.69 × 299.91
  4. Step 4: Simplify right side
    762.28x = 342,704.16
  5. Step 5: Solve for x
    x = 342,704.16/762.28
  6. Step 6: Final answer
    x = 449.58

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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.