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Finding the Fourth Proportional to 912.11, 1,361.04 and 813.93

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Solution

The fourth proportional to 912.11, 1,361.04 and 813.93 is: 1,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.11 : 1,361.04 = 813.93 : x
  2. Step 2: Convert to fraction form
    912.11/1,361.04 = 813.93/x
  3. Step 3: Cross multiply
    912.11x = 1,361.04 × 813.93
  4. Step 4: Simplify right side
    912.11x = 1,107,791.29
  5. Step 5: Solve for x
    x = 1,107,791.29/912.11
  6. Step 6: Final answer
    x = 1,214.54

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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.