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Finding the Fourth Proportional to 1,422.43, 2,133.70 and 544.82

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Solution

The fourth proportional to 1,422.43, 2,133.70 and 544.82 is: 817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.43 : 2,133.70 = 544.82 : x
  2. Step 2: Convert to fraction form
    1,422.43/2,133.70 = 544.82/x
  3. Step 3: Cross multiply
    1,422.43x = 2,133.70 × 544.82
  4. Step 4: Simplify right side
    1,422.43x = 1,162,470.40
  5. Step 5: Solve for x
    x = 1,162,470.40/1,422.43
  6. Step 6: Final answer
    x = 817.24

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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.