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Finding the Fourth Proportional to 762.11, 1,143.62 and 299.94

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Solution

The fourth proportional to 762.11, 1,143.62 and 299.94 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.11 : 1,143.62 = 299.94 : x
  2. Step 2: Convert to fraction form
    762.11/1,143.62 = 299.94/x
  3. Step 3: Cross multiply
    762.11x = 1,143.62 × 299.94
  4. Step 4: Simplify right side
    762.11x = 343,012.72
  5. Step 5: Solve for x
    x = 343,012.72/762.11
  6. Step 6: Final answer
    x = 450.08

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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.