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Finding the Fourth Proportional to 1,422.50, 2,133.50 and 382.58

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Solution

The fourth proportional to 1,422.50, 2,133.50 and 382.58 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.50 : 2,133.50 = 382.58 : x
  2. Step 2: Convert to fraction form
    1,422.50/2,133.50 = 382.58/x
  3. Step 3: Cross multiply
    1,422.50x = 2,133.50 × 382.58
  4. Step 4: Simplify right side
    1,422.50x = 816,223.76
  5. Step 5: Solve for x
    x = 816,223.76/1,422.50
  6. Step 6: Final answer
    x = 573.80

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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.