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Finding the Fourth Proportional to 754.76, 1,036.03 and 696.44

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Solution

The fourth proportional to 754.76, 1,036.03 and 696.44 is: 955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.76 : 1,036.03 = 696.44 : x
  2. Step 2: Convert to fraction form
    754.76/1,036.03 = 696.44/x
  3. Step 3: Cross multiply
    754.76x = 1,036.03 × 696.44
  4. Step 4: Simplify right side
    754.76x = 721,532.73
  5. Step 5: Solve for x
    x = 721,532.73/754.76
  6. Step 6: Final answer
    x = 955.98

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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.