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Finding the Fourth Proportional to 768.09, 1,152.14 and 335.14

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Solution

The fourth proportional to 768.09, 1,152.14 and 335.14 is: 502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.09 : 1,152.14 = 335.14 : x
  2. Step 2: Convert to fraction form
    768.09/1,152.14 = 335.14/x
  3. Step 3: Cross multiply
    768.09x = 1,152.14 × 335.14
  4. Step 4: Simplify right side
    768.09x = 386,128.20
  5. Step 5: Solve for x
    x = 386,128.20/768.09
  6. Step 6: Final answer
    x = 502.71

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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.