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Finding the Fourth Proportional to 755.93, 1,044.83 and 697.61

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Solution

The fourth proportional to 755.93, 1,044.83 and 697.61 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.93 : 1,044.83 = 697.61 : x
  2. Step 2: Convert to fraction form
    755.93/1,044.83 = 697.61/x
  3. Step 3: Cross multiply
    755.93x = 1,044.83 × 697.61
  4. Step 4: Simplify right side
    755.93x = 728,883.86
  5. Step 5: Solve for x
    x = 728,883.86/755.93
  6. Step 6: Final answer
    x = 964.22

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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.