Home / 1,299.30-1,949.26-433.62

Finding the Fourth Proportional to 1,299.30, 1,949.26 and 433.62

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Solution

The fourth proportional to 1,299.30, 1,949.26 and 433.62 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.30 : 1,949.26 = 433.62 : x
  2. Step 2: Convert to fraction form
    1,299.30/1,949.26 = 433.62/x
  3. Step 3: Cross multiply
    1,299.30x = 1,949.26 × 433.62
  4. Step 4: Simplify right side
    1,299.30x = 845,238.12
  5. Step 5: Solve for x
    x = 845,238.12/1,299.30
  6. Step 6: Final answer
    x = 650.53

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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.