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Finding the Fourth Proportional to 1,470.84, 2,201.58 and 819.60

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Solution

The fourth proportional to 1,470.84, 2,201.58 and 819.60 is: 1,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,201.58 = 819.60 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,201.58 = 819.60/x
  3. Step 3: Cross multiply
    1,470.84x = 2,201.58 × 819.60
  4. Step 4: Simplify right side
    1,470.84x = 1,804,414.97
  5. Step 5: Solve for x
    x = 1,804,414.97/1,470.84
  6. Step 6: Final answer
    x = 1,226.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.