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Finding the Fourth Proportional to 755.75, 1,134.53 and 462.33

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Solution

The fourth proportional to 755.75, 1,134.53 and 462.33 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.75 : 1,134.53 = 462.33 : x
  2. Step 2: Convert to fraction form
    755.75/1,134.53 = 462.33/x
  3. Step 3: Cross multiply
    755.75x = 1,134.53 × 462.33
  4. Step 4: Simplify right side
    755.75x = 524,527.25
  5. Step 5: Solve for x
    x = 524,527.25/755.75
  6. Step 6: Final answer
    x = 694.05

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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.