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Finding the Fourth Proportional to 755.56, 1,133.50 and 447.64

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Solution

The fourth proportional to 755.56, 1,133.50 and 447.64 is: 671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.56 : 1,133.50 = 447.64 : x
  2. Step 2: Convert to fraction form
    755.56/1,133.50 = 447.64/x
  3. Step 3: Cross multiply
    755.56x = 1,133.50 × 447.64
  4. Step 4: Simplify right side
    755.56x = 507,399.94
  5. Step 5: Solve for x
    x = 507,399.94/755.56
  6. Step 6: Final answer
    x = 671.55

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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.