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Finding the Fourth Proportional to 755.54, 1,134.68 and 694.56

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Solution

The fourth proportional to 755.54, 1,134.68 and 694.56 is: 1,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.54 : 1,134.68 = 694.56 : x
  2. Step 2: Convert to fraction form
    755.54/1,134.68 = 694.56/x
  3. Step 3: Cross multiply
    755.54x = 1,134.68 × 694.56
  4. Step 4: Simplify right side
    755.54x = 788,099.87
  5. Step 5: Solve for x
    x = 788,099.87/755.54
  6. Step 6: Final answer
    x = 1,043.10

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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.