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Finding the Fourth Proportional to 999.23, 1,378.66 and 579.50

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Solution

The fourth proportional to 999.23, 1,378.66 and 579.50 is: 799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.23 : 1,378.66 = 579.50 : x
  2. Step 2: Convert to fraction form
    999.23/1,378.66 = 579.50/x
  3. Step 3: Cross multiply
    999.23x = 1,378.66 × 579.50
  4. Step 4: Simplify right side
    999.23x = 798,925.13
  5. Step 5: Solve for x
    x = 798,925.13/999.23
  6. Step 6: Final answer
    x = 799.54

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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.