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Finding the Fourth Proportional to 762.29, 1,143.94 and 300.01

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Solution

The fourth proportional to 762.29, 1,143.94 and 300.01 is: 450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,143.94 = 300.01 : x
  2. Step 2: Convert to fraction form
    762.29/1,143.94 = 300.01/x
  3. Step 3: Cross multiply
    762.29x = 1,143.94 × 300.01
  4. Step 4: Simplify right side
    762.29x = 343,193.44
  5. Step 5: Solve for x
    x = 343,193.44/762.29
  6. Step 6: Final answer
    x = 450.21

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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.