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Finding the Fourth Proportional to 748, 1,122.09 and 382.60

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Solution

The fourth proportional to 748, 1,122.09 and 382.60 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    748 : 1,122.09 = 382.60 : x
  2. Step 2: Convert to fraction form
    748/1,122.09 = 382.60/x
  3. Step 3: Cross multiply
    748x = 1,122.09 × 382.60
  4. Step 4: Simplify right side
    748x = 429,311.63
  5. Step 5: Solve for x
    x = 429,311.63/748
  6. Step 6: Final answer
    x = 573.95

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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.