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Finding the Fourth Proportional to 769.05, 1,152.90 and 275.22

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Solution

The fourth proportional to 769.05, 1,152.90 and 275.22 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.05 : 1,152.90 = 275.22 : x
  2. Step 2: Convert to fraction form
    769.05/1,152.90 = 275.22/x
  3. Step 3: Cross multiply
    769.05x = 1,152.90 × 275.22
  4. Step 4: Simplify right side
    769.05x = 317,301.14
  5. Step 5: Solve for x
    x = 317,301.14/769.05
  6. Step 6: Final answer
    x = 412.59

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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.