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Finding the Fourth Proportional to 755.97, 1,042.56 and 678.51

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Solution

The fourth proportional to 755.97, 1,042.56 and 678.51 is: 935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.97 : 1,042.56 = 678.51 : x
  2. Step 2: Convert to fraction form
    755.97/1,042.56 = 678.51/x
  3. Step 3: Cross multiply
    755.97x = 1,042.56 × 678.51
  4. Step 4: Simplify right side
    755.97x = 707,387.39
  5. Step 5: Solve for x
    x = 707,387.39/755.97
  6. Step 6: Final answer
    x = 935.73

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.