Home / 1,193.57-1,789.90-499.88

Finding the Fourth Proportional to 1,193.57, 1,789.90 and 499.88

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Solution

The fourth proportional to 1,193.57, 1,789.90 and 499.88 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.57 : 1,789.90 = 499.88 : x
  2. Step 2: Convert to fraction form
    1,193.57/1,789.90 = 499.88/x
  3. Step 3: Cross multiply
    1,193.57x = 1,789.90 × 499.88
  4. Step 4: Simplify right side
    1,193.57x = 894,735.21
  5. Step 5: Solve for x
    x = 894,735.21/1,193.57
  6. Step 6: Final answer
    x = 749.63

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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.