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Finding the Fourth Proportional to 505.44, 755.06 and 423.43

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Solution

The fourth proportional to 505.44, 755.06 and 423.43 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 755.06 = 423.43 : x
  2. Step 2: Convert to fraction form
    505.44/755.06 = 423.43/x
  3. Step 3: Cross multiply
    505.44x = 755.06 × 423.43
  4. Step 4: Simplify right side
    505.44x = 319,711.05
  5. Step 5: Solve for x
    x = 319,711.05/505.44
  6. Step 6: Final answer
    x = 632.54

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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.