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Finding the Fourth Proportional to 769.30, 1,152.94 and 422.12

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Solution

The fourth proportional to 769.30, 1,152.94 and 422.12 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.30 : 1,152.94 = 422.12 : x
  2. Step 2: Convert to fraction form
    769.30/1,152.94 = 422.12/x
  3. Step 3: Cross multiply
    769.30x = 1,152.94 × 422.12
  4. Step 4: Simplify right side
    769.30x = 486,679.03
  5. Step 5: Solve for x
    x = 486,679.03/769.30
  6. Step 6: Final answer
    x = 632.63

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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.