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Finding the Fourth Proportional to 768.51, 1,152.77 and 335.97

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Solution

The fourth proportional to 768.51, 1,152.77 and 335.97 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.51 : 1,152.77 = 335.97 : x
  2. Step 2: Convert to fraction form
    768.51/1,152.77 = 335.97/x
  3. Step 3: Cross multiply
    768.51x = 1,152.77 × 335.97
  4. Step 4: Simplify right side
    768.51x = 387,296.14
  5. Step 5: Solve for x
    x = 387,296.14/768.51
  6. Step 6: Final answer
    x = 503.96

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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.