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Finding the Fourth Proportional to 797.68, 1,099.64 and 576.28

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Solution

The fourth proportional to 797.68, 1,099.64 and 576.28 is: 794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.68 : 1,099.64 = 576.28 : x
  2. Step 2: Convert to fraction form
    797.68/1,099.64 = 576.28/x
  3. Step 3: Cross multiply
    797.68x = 1,099.64 × 576.28
  4. Step 4: Simplify right side
    797.68x = 633,692.16
  5. Step 5: Solve for x
    x = 633,692.16/797.68
  6. Step 6: Final answer
    x = 794.42

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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.