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Finding the Fourth Proportional to 769.62, 1,153.97 and 347.39

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Solution

The fourth proportional to 769.62, 1,153.97 and 347.39 is: 520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.62 : 1,153.97 = 347.39 : x
  2. Step 2: Convert to fraction form
    769.62/1,153.97 = 347.39/x
  3. Step 3: Cross multiply
    769.62x = 1,153.97 × 347.39
  4. Step 4: Simplify right side
    769.62x = 400,875.76
  5. Step 5: Solve for x
    x = 400,875.76/769.62
  6. Step 6: Final answer
    x = 520.87

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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.