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Finding the Fourth Proportional to 999.23, 1,378.67 and 579.65

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Solution

The fourth proportional to 999.23, 1,378.67 and 579.65 is: 799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.23 : 1,378.67 = 579.65 : x
  2. Step 2: Convert to fraction form
    999.23/1,378.67 = 579.65/x
  3. Step 3: Cross multiply
    999.23x = 1,378.67 × 579.65
  4. Step 4: Simplify right side
    999.23x = 799,136.27
  5. Step 5: Solve for x
    x = 799,136.27/999.23
  6. Step 6: Final answer
    x = 799.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.