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Finding the Fourth Proportional to 1,393.43, 1,922.96 and 833.95

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Solution

The fourth proportional to 1,393.43, 1,922.96 and 833.95 is: 1,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.43 : 1,922.96 = 833.95 : x
  2. Step 2: Convert to fraction form
    1,393.43/1,922.96 = 833.95/x
  3. Step 3: Cross multiply
    1,393.43x = 1,922.96 × 833.95
  4. Step 4: Simplify right side
    1,393.43x = 1,603,656.98
  5. Step 5: Solve for x
    x = 1,603,656.98/1,393.43
  6. Step 6: Final answer
    x = 1,150.87

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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.