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Finding the Fourth Proportional to 1,369.41, 2,051.51 and 812.94

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Solution

The fourth proportional to 1,369.41, 2,051.51 and 812.94 is: 1,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.41 : 2,051.51 = 812.94 : x
  2. Step 2: Convert to fraction form
    1,369.41/2,051.51 = 812.94/x
  3. Step 3: Cross multiply
    1,369.41x = 2,051.51 × 812.94
  4. Step 4: Simplify right side
    1,369.41x = 1,667,754.54
  5. Step 5: Solve for x
    x = 1,667,754.54/1,369.41
  6. Step 6: Final answer
    x = 1,217.86

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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.