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Finding the Fourth Proportional to 768.42, 1,152 and 397.80

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Solution

The fourth proportional to 768.42, 1,152 and 397.80 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,152 = 397.80 : x
  2. Step 2: Convert to fraction form
    768.42/1,152 = 397.80/x
  3. Step 3: Cross multiply
    768.42x = 1,152 × 397.80
  4. Step 4: Simplify right side
    768.42x = 458,265.60
  5. Step 5: Solve for x
    x = 458,265.60/768.42
  6. Step 6: Final answer
    x = 596.37

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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.