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Finding the Fourth Proportional to 3,199, 4,798.78 and 890.50

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Solution

The fourth proportional to 3,199, 4,798.78 and 890.50 is: 1,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199 : 4,798.78 = 890.50 : x
  2. Step 2: Convert to fraction form
    3,199/4,798.78 = 890.50/x
  3. Step 3: Cross multiply
    3,199x = 4,798.78 × 890.50
  4. Step 4: Simplify right side
    3,199x = 4,273,313.59
  5. Step 5: Solve for x
    x = 4,273,313.59/3,199
  6. Step 6: Final answer
    x = 1,335.83

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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.