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Finding the Fourth Proportional to 768.97, 1,152.54 and 403.56

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Solution

The fourth proportional to 768.97, 1,152.54 and 403.56 is: 604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.97 : 1,152.54 = 403.56 : x
  2. Step 2: Convert to fraction form
    768.97/1,152.54 = 403.56/x
  3. Step 3: Cross multiply
    768.97x = 1,152.54 × 403.56
  4. Step 4: Simplify right side
    768.97x = 465,119.04
  5. Step 5: Solve for x
    x = 465,119.04/768.97
  6. Step 6: Final answer
    x = 604.86

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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.