Home / 1,193.12-1,789.21-500.11

Finding the Fourth Proportional to 1,193.12, 1,789.21 and 500.11

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Solution

The fourth proportional to 1,193.12, 1,789.21 and 500.11 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.12 : 1,789.21 = 500.11 : x
  2. Step 2: Convert to fraction form
    1,193.12/1,789.21 = 500.11/x
  3. Step 3: Cross multiply
    1,193.12x = 1,789.21 × 500.11
  4. Step 4: Simplify right side
    1,193.12x = 894,797.97
  5. Step 5: Solve for x
    x = 894,797.97/1,193.12
  6. Step 6: Final answer
    x = 749.97

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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.