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Finding the Fourth Proportional to 762.63, 1,143.94 and 330.09

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Solution

The fourth proportional to 762.63, 1,143.94 and 330.09 is: 495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.63 : 1,143.94 = 330.09 : x
  2. Step 2: Convert to fraction form
    762.63/1,143.94 = 330.09/x
  3. Step 3: Cross multiply
    762.63x = 1,143.94 × 330.09
  4. Step 4: Simplify right side
    762.63x = 377,603.15
  5. Step 5: Solve for x
    x = 377,603.15/762.63
  6. Step 6: Final answer
    x = 495.13

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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.