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Finding the Fourth Proportional to 800.48, 1,105.14 and 579.20

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Solution

The fourth proportional to 800.48, 1,105.14 and 579.20 is: 799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,105.14 = 579.20 : x
  2. Step 2: Convert to fraction form
    800.48/1,105.14 = 579.20/x
  3. Step 3: Cross multiply
    800.48x = 1,105.14 × 579.20
  4. Step 4: Simplify right side
    800.48x = 640,097.09
  5. Step 5: Solve for x
    x = 640,097.09/800.48
  6. Step 6: Final answer
    x = 799.64

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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.