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Finding the Fourth Proportional to 1,299.89, 1,949.42 and 434

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Solution

The fourth proportional to 1,299.89, 1,949.42 and 434 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.89 : 1,949.42 = 434 : x
  2. Step 2: Convert to fraction form
    1,299.89/1,949.42 = 434/x
  3. Step 3: Cross multiply
    1,299.89x = 1,949.42 × 434
  4. Step 4: Simplify right side
    1,299.89x = 846,046.11
  5. Step 5: Solve for x
    x = 846,046.11/1,299.89
  6. Step 6: Final answer
    x = 650.86

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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.