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Finding the Fourth Proportional to 768.97, 1,151.92 and 459.96

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Solution

The fourth proportional to 768.97, 1,151.92 and 459.96 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.97 : 1,151.92 = 459.96 : x
  2. Step 2: Convert to fraction form
    768.97/1,151.92 = 459.96/x
  3. Step 3: Cross multiply
    768.97x = 1,151.92 × 459.96
  4. Step 4: Simplify right side
    768.97x = 529,837.12
  5. Step 5: Solve for x
    x = 529,837.12/768.97
  6. Step 6: Final answer
    x = 689.02

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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.