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Finding the Fourth Proportional to 505.44, 757.72 and 274.52

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Solution

The fourth proportional to 505.44, 757.72 and 274.52 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 757.72 = 274.52 : x
  2. Step 2: Convert to fraction form
    505.44/757.72 = 274.52/x
  3. Step 3: Cross multiply
    505.44x = 757.72 × 274.52
  4. Step 4: Simplify right side
    505.44x = 208,009.29
  5. Step 5: Solve for x
    x = 208,009.29/505.44
  6. Step 6: Final answer
    x = 411.54

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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.