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Finding the Fourth Proportional to 755.16, 1,132.44 and 286.56

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Solution

The fourth proportional to 755.16, 1,132.44 and 286.56 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,132.44 = 286.56 : x
  2. Step 2: Convert to fraction form
    755.16/1,132.44 = 286.56/x
  3. Step 3: Cross multiply
    755.16x = 1,132.44 × 286.56
  4. Step 4: Simplify right side
    755.16x = 324,512.01
  5. Step 5: Solve for x
    x = 324,512.01/755.16
  6. Step 6: Final answer
    x = 429.73

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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.