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Finding the Fourth Proportional to 1,385.92, 1,912.98 and 796.85

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Solution

The fourth proportional to 1,385.92, 1,912.98 and 796.85 is: 1,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.92 : 1,912.98 = 796.85 : x
  2. Step 2: Convert to fraction form
    1,385.92/1,912.98 = 796.85/x
  3. Step 3: Cross multiply
    1,385.92x = 1,912.98 × 796.85
  4. Step 4: Simplify right side
    1,385.92x = 1,524,358.11
  5. Step 5: Solve for x
    x = 1,524,358.11/1,385.92
  6. Step 6: Final answer
    x = 1,099.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.