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Finding the Fourth Proportional to 768.73, 1,152.11 and 490.97

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Solution

The fourth proportional to 768.73, 1,152.11 and 490.97 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.73 : 1,152.11 = 490.97 : x
  2. Step 2: Convert to fraction form
    768.73/1,152.11 = 490.97/x
  3. Step 3: Cross multiply
    768.73x = 1,152.11 × 490.97
  4. Step 4: Simplify right side
    768.73x = 565,656.24
  5. Step 5: Solve for x
    x = 565,656.24/768.73
  6. Step 6: Final answer
    x = 735.84

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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.