Home / 1,320.89-1,982.10-499.73

Finding the Fourth Proportional to 1,320.89, 1,982.10 and 499.73

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Solution

The fourth proportional to 1,320.89, 1,982.10 and 499.73 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.89 : 1,982.10 = 499.73 : x
  2. Step 2: Convert to fraction form
    1,320.89/1,982.10 = 499.73/x
  3. Step 3: Cross multiply
    1,320.89x = 1,982.10 × 499.73
  4. Step 4: Simplify right side
    1,320.89x = 990,514.83
  5. Step 5: Solve for x
    x = 990,514.83/1,320.89
  6. Step 6: Final answer
    x = 749.88

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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.