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Finding the Fourth Proportional to 505.22, 755.25 and 453.05

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Solution

The fourth proportional to 505.22, 755.25 and 453.05 is: 677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 755.25 = 453.05 : x
  2. Step 2: Convert to fraction form
    505.22/755.25 = 453.05/x
  3. Step 3: Cross multiply
    505.22x = 755.25 × 453.05
  4. Step 4: Simplify right side
    505.22x = 342,162.24
  5. Step 5: Solve for x
    x = 342,162.24/505.22
  6. Step 6: Final answer
    x = 677.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.