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Finding the Fourth Proportional to 768.89, 1,054.04 and 754.92

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Solution

The fourth proportional to 768.89, 1,054.04 and 754.92 is: 1,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.89 : 1,054.04 = 754.92 : x
  2. Step 2: Convert to fraction form
    768.89/1,054.04 = 754.92/x
  3. Step 3: Cross multiply
    768.89x = 1,054.04 × 754.92
  4. Step 4: Simplify right side
    768.89x = 795,714.23
  5. Step 5: Solve for x
    x = 795,714.23/768.89
  6. Step 6: Final answer
    x = 1,034.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.