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Finding the Fourth Proportional to 1,299.61, 1,949.37 and 433.92

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Solution

The fourth proportional to 1,299.61, 1,949.37 and 433.92 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.61 : 1,949.37 = 433.92 : x
  2. Step 2: Convert to fraction form
    1,299.61/1,949.37 = 433.92/x
  3. Step 3: Cross multiply
    1,299.61x = 1,949.37 × 433.92
  4. Step 4: Simplify right side
    1,299.61x = 845,876.31
  5. Step 5: Solve for x
    x = 845,876.31/1,299.61
  6. Step 6: Final answer
    x = 650.87

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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.