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Finding the Fourth Proportional to 1,422.45, 1,963.13 and 833.18

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Solution

The fourth proportional to 1,422.45, 1,963.13 and 833.18 is: 1,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.45 : 1,963.13 = 833.18 : x
  2. Step 2: Convert to fraction form
    1,422.45/1,963.13 = 833.18/x
  3. Step 3: Cross multiply
    1,422.45x = 1,963.13 × 833.18
  4. Step 4: Simplify right side
    1,422.45x = 1,635,626.67
  5. Step 5: Solve for x
    x = 1,635,626.67/1,422.45
  6. Step 6: Final answer
    x = 1,149.87

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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.