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Finding the Fourth Proportional to 797.99, 1,100.57 and 599.27

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Solution

The fourth proportional to 797.99, 1,100.57 and 599.27 is: 826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.99 : 1,100.57 = 599.27 : x
  2. Step 2: Convert to fraction form
    797.99/1,100.57 = 599.27/x
  3. Step 3: Cross multiply
    797.99x = 1,100.57 × 599.27
  4. Step 4: Simplify right side
    797.99x = 659,530.08
  5. Step 5: Solve for x
    x = 659,530.08/797.99
  6. Step 6: Final answer
    x = 826.49

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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.