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Finding the Fourth Proportional to 1,462.36, 2,193.94 and 813.55

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Solution

The fourth proportional to 1,462.36, 2,193.94 and 813.55 is: 1,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.36 : 2,193.94 = 813.55 : x
  2. Step 2: Convert to fraction form
    1,462.36/2,193.94 = 813.55/x
  3. Step 3: Cross multiply
    1,462.36x = 2,193.94 × 813.55
  4. Step 4: Simplify right side
    1,462.36x = 1,784,868.92
  5. Step 5: Solve for x
    x = 1,784,868.92/1,462.36
  6. Step 6: Final answer
    x = 1,220.54

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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.