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Finding the Fourth Proportional to 1,274.82, 1,912.59 and 505.86

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Solution

The fourth proportional to 1,274.82, 1,912.59 and 505.86 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.82 : 1,912.59 = 505.86 : x
  2. Step 2: Convert to fraction form
    1,274.82/1,912.59 = 505.86/x
  3. Step 3: Cross multiply
    1,274.82x = 1,912.59 × 505.86
  4. Step 4: Simplify right side
    1,274.82x = 967,502.78
  5. Step 5: Solve for x
    x = 967,502.78/1,274.82
  6. Step 6: Final answer
    x = 758.93

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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.